Question

Question no.17.......​

Answer 1

Let ,

The sum of ages of father's two children be x

By the given condition ,

$\star$Father's age = 3(x) ---- eq (i)

After 5 years ,

$\star$(Father's age + 5) = 2(x + 5) -- eq (ii)

Put the value of eq (i) in eq (ii) , we obtain

$\sf \implies 3x + 5 = 2x + 10 \\ \\ \sf \implies</p><p>3x - 2x = 10 - 5 \\ \\ \sf \implies </p><p>x = 5$

Put the value x = 5 in eq (i) , we get

$\sf \implies Father's \: age = 3(5) \\ \\ \sf \implies </p><p>Father's \: age = 15 \: years$

Hence , the age of father is 15 years

Answer 2

Let the age of father be x year and sum of the age of his children by y year.

After 5 year

Father's age =(x+5) years

sum of ages of his children (y+10) years

from the given information we have

x=3y...(1)

&x+5=2(y+10)

=x-2y=15... . (2)

from 1 and 2 we have

3y-2y=15 =y=15

•x=3y=45

Father's age =45

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