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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
Solution
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
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