Question

Adele is 5 years older than Timothy. In three years, timothy will be 2/3 of adeles age. What is adeles current age?

Answer 1

a=5+t
t+3=2/3(a+3)
sub 5+t for a
t+3=2/3(5+t+3)
t+3=2/3(t+8)
times 3 both sides
3t+9=2(t+8)
3t+9=2t+16
minus 2x both sides
t+9=16
minus 9 both sides
t=7
a=5+t
a=5+7
a=12

adele=12

Answer 2

Answer: 12 years

Explanation:

Let x be Timothy's present age .

The, Adele's present age = x+5

After 3 years, Timothy's age = x+3

Adele's age =x+5+3=x+8

According to the question, we have

`x+3=(2)/(3)(x+8)\\\\\Rightarrow3(x+3)=2x+16\\\\\Rightarrow\ 3x+9=2x+16\\\\\Rightarrow\ 3x-2x=16-9\\\\\Rightarrow\ x=7`

Hence, the current age of Timothy = 7 years

The current age of Adele =7+5=12 years.