Define variables for their current ages.

Question

Define variables for their current ages.

Asked on March 28, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

Accepted Answer · 2026-03-28T07:54:37.742Z

59) The age of father is 24 years more than his son. In two years the father's age will be twice that of his son. The present age of his son is Step 1: Define variables for their current ages. Let the son's current age be $S$ years. Let the father's current age be $F$ years. Step 2: Formulate equations based on the given information. From the first statement: "The age of father is 24 years more than his son." $$F = S + 24 \quad (1)$$ From the second statement: "In two years the father's age will be twice that of his son." In two years, the son's age will be $S+2$. In two years, the father's age will be $F+2$. So, we have: $$F + 2 = 2(S + 2) \quad (2)$$ Step 3: Substitute Equation (1) into Equation (2). $$(S + 24) + 2 = 2(S + 2)$$ $$S + 26 = 2S + 4$$ Step 4: Solve for $S$. $$26 - 4 = 2S - S$$ $$22 = S$$ The present age of his son is 22 years. The correct option is A. A) $\boxed{22}$ 60) What should be added to $-\frac{7}{3}$ to get $\frac{3}{7}$? Step 1: Let the unknown number be $x$. The problem can be written as an equation: $$-\frac{7}{3} + x = \frac{3}{7}$$ Step 2: Isolate $x$ by adding $\frac{7}{3}$ to both sides of the equation. $$x = \frac{3}{7} + \frac{7}{3}$$ Step 3: Find a common denominator for the fractions, which is $7 \times 3 = 21$. $$x = \frac{3 \times 3}{7 \times 3} + \frac{7 \times 7}{3 \times 7}$$ $$x = \frac{9}{21} + \frac{49}{21}$$ Step 4: Add the fractions. $$x = \frac{9 + 49}{21}$$ $$x = \frac{58}{21}$$ The correct option is D. D) $\boxed{\frac{58}{21}}$ 61) Full form of DTP is DTP stands for Desktop Publishing. The correct option is C. C) Desktop top publishing (Assuming "top" is a typo for "publishing") 62) Under which tax policy, one nation one uniform tax was implemented This refers to the Goods and Service Tax (GST) implemented in India. The correct option is B. B) Goods and Service Tax 63) How many sessions or sessions of parliament are held every year in general? In India, there are generally 3 sessions of Parliament held every year: the Budget Session, the Monsoon Session, and the Winter Session. The correct option is C. C) 3 64) Which train in India has the longest route length? The Vivek Express (from Dibrugarh to Kanyakumari) has the longest route length in India. The correct option is C. C) Vivek Express 65) One kilobyte (1 KB) is equivalent to In computing, 1 kilobyte (KB) is equivalent to 1024 bytes. The correct option is B. B) 1024 bytes 66) Who is known as the father of Indian Railways? Lord Dalhousie is known as the father of Indian Railways. The correct option is B. B) Lord Dalhousie 67) Water cannot be used as a fire extinguisher to put out Water is ineffective and dangerous for fires involving flammable liquids like oil because oil floats on water and can spread the fire. Therefore, water cannot be used to put out burning oil. The correct option is C. C) burning oil 68) Which is the highest civilian Award in India? The Bharat Ratna is the highest civilian award in India. The correct option is C. C) Bharat Ratna 69) Which of the following is India's first green railway corridor? India's first green railway corridor is the Manamadurai to Rameswaram section. The correct option is B. B) Manamadurai to Rameswaram 70) The Narendra Modi Stadium is located in which place The Narendra Modi Stadium (formerly Motera Stadium) is located in Ahmedabad, Gujarat. The correct option is B. B) Ahmedabad

Accepted Answer · 2026-03-28T07:54:37.742Z

59) The age of father is 24 years more than his son. In two years the father's age will be twice that of his son. The present age of his son is Step 1: Define variables for their current ages. Let the son's current age be $S$ years. Let the father's current age be $F$ years. Step 2: Formulate equations based on the given information. From the first statement: "The age of father is 24 years more than his son." $$F = S + 24 \quad (1)$$ From the second statement: "In two years the father's age will be twice that of his son." In two years, the son's age will be $S+2$. In two years, the father's age will be $F+2$. So, we have: $$F + 2 = 2(S + 2) \quad (2)$$ Step 3: Substitute Equation (1) into Equation (2). $$(S + 24) + 2 = 2(S + 2)$$ $$S + 26 = 2S + 4$$ Step 4: Solve for $S$. $$26 - 4 = 2S - S$$ $$22 = S$$ The present age of his son is 22 years. The correct option is A. A) $\boxed{22}$ 60) What should be added to $-\frac{7}{3}$ to get $\frac{3}{7}$? Step 1: Let the unknown number be $x$. The problem can be written as an equation: $$-\frac{7}{3} + x = \frac{3}{7}$$ Step 2: Isolate $x$ by adding $\frac{7}{3}$ to both sides of the equation. $$x = \frac{3}{7} + \frac{7}{3}$$ Step 3: Find a common denominator for the fractions, which is $7 \times 3 = 21$. $$x = \frac{3 \times 3}{7 \times 3} + \frac{7 \times 7}{3 \times 7}$$ $$x = \frac{9}{21} + \frac{49}{21}$$ Step 4: Add the fractions. $$x = \frac{9 + 49}{21}$$ $$x = \frac{58}{21}$$ The correct option is D. D) $\boxed{\frac{58}{21}}$ 61) Full form of DTP is DTP stands for Desktop Publishing. The correct option is C. C) Desktop top publishing (Assuming "top" is a typo for "publishing") 62) Under which tax policy, one nation one uniform tax was implemented This refers to the Goods and Service Tax (GST) implemented in India. The correct option is B. B) Goods and Service Tax 63) How many sessions or sessions of parliament are held every year in general? In India, there are generally 3 sessions of Parliament held every year: the Budget Session, the Monsoon Session, and the Winter Session. The correct option is C. C) 3 64) Which train in India has the longest route length? The Vivek Express (from Dibrugarh to Kanyakumari) has the longest route length in India. The correct option is C. C) Vivek Express 65) One kilobyte (1 KB) is equivalent to In computing, 1 kilobyte (KB) is equivalent to 1024 bytes. The correct option is B. B) 1024 bytes 66) Who is known as the father of Indian Railways? Lord Dalhousie is known as the father of Indian Railways. The correct option is B. B) Lord Dalhousie 67) Water cannot be used as a fire extinguisher to put out Water is ineffective and dangerous for fires involving flammable liquids like oil because oil floats on water and can spread the fire. Therefore, water cannot be used to put out burning oil. The correct option is C. C) burning oil 68) Which is the highest civilian Award in India? The Bharat Ratna is the highest civilian award in India. The correct option is C. C) Bharat Ratna 69) Which of the following is India's first green railway corridor? India's first green railway corridor is the Manamadurai to Rameswaram section. The correct option is B. B) Manamadurai to Rameswaram 70) The Narendra Modi Stadium is located in which place The Narendra Modi Stadium (formerly Motera Stadium) is located in Ahmedabad, Gujarat. The correct option is B. B) Ahmedabad