Question

Mr Jones is 4 years older than his wife and 31 years older than his son.All three ages add up to 82 years. If Mr Jones is x years old find the value of x and find the ages of his wife and son

Answer 1

So the age of Mr.Jones = 39 yrs. |

the age of his wife = 39-4 = 35 yrs.|

and the age his son = 39-31 = 8 yrs.|

Explanation:

Let the age of Mr.Jones = x

So, the age of his wife = x-4 (wife is younger by 4 years)

and the age of his son = x-31 (son is younger by 31 years)

Sum of their ages = x + (x-4) + (x-31) = 82

= x + x - 4 + x - 31 = 82 (By removing the brackets)

= 3x - 35 = 82

= 3x = 117 (By adding 35 both the sides)

= x =
`(117)/(3)`= 39