Question

Question #d73cd

Answer 1

`x + (x + 3) + (x/2 - 3) = 105`

Explanation:

break down each part of the question into smaller, manageable parts. Mrs Tandy (T) will be `x`. her husband (H) who is 3 years older, will be `x + 3`. The son (S) will be `x/2 - 3`. all of those will add up to 105.

in case you're wondering, T is 42, H is 45 and S is 18.

Answer 2

Mrs Tandy's age is `42` years
Her husband's age is `45` years and
Her son's age is `18` years.

Explanation:

Let Mrs Tandy's age be `x`
Given that :
Her husband's age is `x+3` and
Her son is `x/2 -3`
The sum of their ages is = 105

`x + (x+3) + (x/2-3)=105`

`x + x +3 + x/2 -3 = 105`

`x + x cancel(+3) + x/2 cancel(-3) = 105`

`2x +x/2 = 105`

`2x(2/2) +x/2 = 105`

`(4x +x )/2 =105`

`5x = 105 \times 2`

`x = (105 \times 2)/5`

`x =42`
So ,
Mrs Mrs Tandy's age will be `x =42` years

Her husband's age is `x+3 = 45`years and

Her son will be `x/2 -3 = 18`years.