The sum of a man and his wife is 81 years. The ratio of their ages is 5:4 Find the age of the younger person

Question

asked Mar 4, 2022 152k views

1 Answer

Liran Cohen · Answer 1 · 2022-03-09T12:49:09+0000

Answer:

Age of a younger person (wife) is
years.

Explanation:

The sum of a man and his wife is
years.

Also, ratio of their ages is
5:4

Let ages of a man and his wife be
and
.

Therefore,

$5x+4x=81\\9x=81\\x=9$

Age of man
=5x=5(9)=45 years

Age of his wife
=4x=4(9)=36 years.

So,

age of a younger person (wife) is
years.