Question

The sum Joyce age and her brother age is 24 her brothers age is three years older than twice joys age what is the difference in years between Joyce age and her brothers age

Answer 1

Difference between Joyce's and her brothers age is 10 years.

Explanation:

Let,

x be the age of Joyce

y be the age of her brother

According to given statement;

x+y=24 Eqn 1

y = 2x+3 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x+2x+3=24

3x=24-3

3x=21

Dividing both sides by 3

`(3x)/(3)=(21)/(3)\\x=7`

Putting x=7 in Eqn 2

y = 2(7) + 3

y = 14+3

y = 17

Difference = 17 - 7 = 10 years

Hence,

Difference between Joyce's and her brothers age is 10 years.