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

Answer:

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

Step-by-step 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.