Math, asked by nKRminsita, 1 year ago

The age of father is twice the sum of ages of his 2 children. After 20 years his age will be equal to the sum of ages of his children. Find the age of the father.

Answers

Answered by RSS02
989
let the fathers age be x yrs
the sum of ages of 2 children be (a+b)yrs
acc to 1st condition
x=2(a+b)=2a+2b.....(1)
acc to 2nd condition
x+20=a+20+b+20
x+20=a+b+40
x=a+b+20.....(2)
equating (1) & (2)
a+b=20
sub this in(1)
x=40
therefore the fathers age is 40 yrs.
if u like mark it as brainliest answer.
Answered by Anonymous
243

Let the age of father be x and the sum of ages of two children be y year.


x = 2y (Equation 1)


By the second condition


x + 20 = y + 40


[Note that the both children will add 20 year in their ages]


x - y = 20 (Equation 2)


From Equation (1) and (2)


2y - y = 20


y = 20 and x = 40


Age of father = 40 years

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