Sum of ages in the future

Algebra Level 1

I am 8 years older than my brother. Twenty years ago, the sum of our ages was 20. What will be the sum of our ages 15 years from now?


The answer is 90.

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2 solutions

Ayush Kumar
Nov 14, 2017

If 20 years ago, the sum of their ages was 20, and today they are both 20 years older, no matter what age they are specifically, they will sum to 60. In 15 years, they are each 15 years older, which we must also add to find that in 15 years, the sum of their ages is 90 \boxed{90} .

Vishnu Mech
Nov 27, 2017

Let the age of the younger brother be X

And age of the elder brother be X+8

IF THE SUM OF THEIR AGE BEFORE 20 YEARS=20

i.e,

(X-20)+(X+8-20)=20

ON SOLVING X=26(YOUNGER BROTHER)

X+8=34(ELDER BROTHER)

FROM NOW ,AFTER 15 YEARS SUM OF THEIR AGE WILL BE

(26+15)+(34+15)

= 90

THEREFORE THE SUM OF THEIR AGE WILL BE 90

THANKS 😎😘😃

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