Question

1. If twice the son's age in years added to mother's age, the sum
is 70 years. But, if twice the mother's age is added to the son's
age, the sum is 95 years. Find the age of mother and that of son.​

Answer 1

Answer:

let the child's age will be x

and the mother's age is y

then for first condition equation is 2x+y=70

for second condition the equation will be x + 2y = 95

by solving both equation x=15 and y= 40

Answer 2

$\large\blue{\underline{\underline{\bf{\green{Given}}}}}$

If twice the son's age in years added to mother's age, the sum is 70 years. But, if twice the mother's age is added to the son's age, the sum is 95 years.

$\large\blue{\underline{\underline{\bf{\green{To Find}}}}}$

• Age of mother
• Age of Son

$\large\blue{\underline{\underline{\bf{\green{Solution}}}}}$

➪ Let mother's age be 'x' years

And,

➪ Son's age be 'y' years

Then,

• ✝ According to 1st condition :-

↣ x + 2y = 70

↣ x = 70 - 2y. ---(1)

• ✝ According to 2nd Condition :-

↣ 2x + y = 95

↣ 2(70 - 2y) + y = 95. ---(from -1)

↣ 140 - 4y + y = 95

↣ -3y = 95 - 140

↣ -3y = -45

↣ y = -45/-3 = 15

↣ y = 15

Put this value of y in (1) , we get

↣ x = (70 - 2y)

↣ x = 70 - 2×15

↣ x = 70 - 30

↣ x = 40

Hence,

• Mother's age = x = 40 years

• Son's age = y = 15 years