Question

Two parents discuss their birthdays and discovered that the sum of their ages was 97 but the difference of their ages was 19 what were their ages

Answer 1

Parents age

a = 58 and b = 39

Explanation:

Lets a and b the parents age.

Given:

The sum of the parents age is equal to 97

And difference of their ages is 19

We need to find the parents age.

From the given statement the sum of their ages is 97, so the equation is

`a+b=97`---------------(1)

And difference of their ages is 19, so the equation is.

`a-b=19`---------------(2)

Solve the equation 2 for a

`a=19+b`-----------(3)

Now we substitute the above a value in equation 1 and simplify.

`(19+b)+b=97`

`19+b+b=97`

`19+2b=97`

`2b=97-19`

`2b=78`

`b=(78)/(2)`

`b=39`

Now we substitute b value in equation 3.

`a=19+39`

`a=58`

Therefore the parents ages is a = 58 and b = 39