Question

The sum of a whole number A and a whole number B is 30, and the ratio A : B is equivalent to 3 : 2. Find A and B.

Answer 1

A= 18, B= 12

Explanation:

A +B= 30 -----(1)

A :B= 3 :2

From the ratio,

A ----- 3 units

B ----- 2 units

Units shall be represented by the letter u from this point forth.

Substitute into equation (1):

3u +2u ---- 30

5u ----- 30

u ----- 30 ÷5= 6

This means that 1 unit represents 6.

A

= 3(6)

= 18

B

= 2(6)

= 12