If twice the son's age be added to the father | vedclass

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(A) Let the son's age be $x$ years and the father's age be $y$ years.According to the problem,we have two linear equations:$2x + y = 70$  ---(Equation

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(A) Let the son's age be $x$ years and the father's age be $y$ years.According to the problem,we have two linear equations:$2x + y = 70$  ---(Equation $1$)$x + 2y = 95$  ---(Equation $2$)To solve for $y$ (father's age),multiply Equation $1$ by $2$:$4x + 2y = 140$ ---(Equation $3$)Now,subtract Equation $2$ from Equation $3$:$(4x + 2y) - (x + 2y) = 140 - 95$$3x = 45$,so $x = 15$.Substitute $x = 15$ into Equation $1$:$2(15) + y = 70$$30 + y = 70$$y = 70 - 30 = 40$.Therefore,the father's age is $40 	ext{ years}$.

If twice the son's age be added to the father's age,the sum is $70 \text{ years}$ and if twice the father's age is added to the son's age,the sum is $95 \text{ years}$. Then the father's age is (in $\text{years}$):

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