Question

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

Answer 1

Age of a younger person (wife) is
`36` years.

Explanation:

The sum of a man and his wife is
`81` years.

Also, ratio of their ages is
`5:4`

Let ages of a man and his wife be
`5x` and
`4x`.

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
`36` years.