Question

the sum of fathers age amd twice the age of his son is 70 .if we double the age of father and add it to the age of his son the sum is 95 . find their present ages

Answer 1

Let the father's age be x and that of son's be y.
Thus,
x+2y=70 ...... (i), &
2x+y=95 ...... (ii)

(ii)-2(i) :
2x+y-2x-4y=95-140
-3y=-45
y=15.
Putting y=15 in (i)
x+30=70
x=40

© Hades09

Answer 2

Hi...☺

Here is your answer...✌

Let the present age of father and his son be x and y years respectively

According to the question

$x + 2y = 70 \\ \\ x = 70 - 2y \: \: \: \: \: \: \: \: .....(1)$

And,

$2x + y = 95 \\ \\ 2( 70 - 2y) + y= 95 \: \: \: \: \: \: \: |from \: (1)| \\ \\ 140 - 4y+y = 95 \\ \\ - 3y = 95 - 140 \\ \\ - 3y = -45 \\ \\ y = 15$

Putting y = 15 in eq(1)
We get,

x = 70 - 2(15)

x = 70 - 30

x = 40

HENCE,

Present age of father = 40 years

Present age of his son = 15 years