We read your photo as:

Tony is four years younger than his brother Josh, and two years older than his sister Cindy. Tony also has a twin brother, Evan. All the ages of the children totaled together is 66. How old is Tony?

Mathematics

ScanSolve AI Answer

Step-by-step solution

5 steps
  1. Define variables for each person's age.

    Let Tony's age be TT.
    Let Josh's age be JJ.
    Let Cindy's age be CC.
    Let Evan's age be EE.

  2. Write equations based on the given information.

    • "Tony is four years younger than his brother Josh":
    T=J−4  ⟹  J=T+4T = J - 4 \implies J = T + 4
    • "Tony is two years older than his sister Cindy":
    T=C+2  ⟹  C=T−2T = C + 2 \implies C = T - 2
    • "Tony also has a twin brother, Evan":
    E=TE = T
    • "All the ages of the children totaled together is 66":
    T+J+C+E=66T + J + C + E = 66
  3. Substitute the expressions for JJ, CC, and EE in terms of TT into the total age equation.

    T+(T+4)+(T−2)+T=66T + (T + 4) + (T - 2) + T = 66
  4. Simplify and solve the equation for TT.

    Combine the TT terms:

    4T+4−2=664T + 4 - 2 = 66

    Combine the constant terms:

    4T+2=664T + 2 = 66

    Subtract 2 from both sides:

    4T=66−24T = 66 - 2 4T=644T = 64

    Divide by 4:

    T=644T = \frac{64}{4} T=16T = 16
  5. Select the correct option.

    Tony's age is 16. Comparing this to the given options:
    A. 14
    B. 20
    C. 16
    D. 22
    Option C matches our calculated age.

    The final answer is C. 16\boxed{\text{C. 16}}

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp