Question

The table, given below, shows the values of x and y, where x is proportional (directly proportional) to y.

x	A	24	15
y	12	B	20

The values of A and B are:

Options

• A = 16 and B = 18

• A = 32 and B = 9

• A = 9 and B = 32

• A = 18 and B = 16

Answer 1

A = 9 and B = 32

Explanation:

Here x₁ = A; x₂ = 24; x₃ = 15

y₁ = 12; y₂ = B; y₃ = 20

Since x and y are directly proportional to each other.

∴ `x_1/y_1 = x_2/y_2 = x_3/y_3`

`\implies A/12 = 24/B = 15/20`

`\implies A = 15/20 xx 12`

= `3/4 xx 12`

= 9

And `B = (24 xx 20)/15`

= `(24 xx 4)/3`

= 32