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Mathematics

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Answer

55 and 4055 \text{ and } 40

Step-by-step solution

4 steps
  1. Define the variables and set up the equations.

    Let the two numbers be xx and yy.
    From the problem statement, "The sum of two numbers is 95":

    x+y=95(1)x + y = 95 \quad (1)

    From the problem statement, "If one exceeds the other by 15":

    x=y+15(2)x = y + 15 \quad (2)
  2. Substitute Equation (2) into Equation (1).

    Substitute the expression for xx from Equation (2) into Equation (1):

    (y+15)+y=95(y + 15) + y = 95
  3. Solve for yy.

    Combine like terms:

    2y+15=952y + 15 = 95

    Subtract 15 from both sides:

    2y=95−152y = 95 - 15 2y=802y = 80

    Divide by 2:

    y=802y = \frac{80}{2} y=40y = 40
  4. Substitute the value of yy back into Equation (2) to find xx.

    x=y+15x = y + 15 x=40+15x = 40 + 15 x=55x = 55

    The two numbers are 55 and 40.

    The numbers are 55 and 40\boxed{55 \text{ and } 40}.

    3 हो गए, आज 2 बाकी। तुम आगे बढ़ रहे हो।

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