Question

Three times Jasmine's age equals twice Jamal's age. Two times Jamal's age plus three times Jasmine's age equals 48. How old is jamal?

Answer 1

Let Jasmine's age = x
and Jamal's age = y

3x = 2y
2y + 3x = 48

-2y+ 3x = 0
2y + 3x = 48

6x = 48
x = 8
y = 12
Jamal is 12 years old.

Answer 2

Jamal's age ... x = ?
Jasmine's age ... y = ?

If you would like to know how old is Jamal, you can calculate this using the following steps:

3 * y = 2 * x
2 * x + 3 * y = 48
_______________
3 * y + 3 * y = 48
6 * y = 48     /6
y = 48 / 6
y = 8 years old

3 * y = 2 * x
3 * 8 = 2 * x
x = 3 * 8 / 2
x = 12 years old

Result: Jamal is 12 years old.