Question discussion

If p and q are in the ratio 4 : 3 and their LCM is 36 p + q =?

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Discussion 1

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Let the numbers p and q be 4x and 3x respectively.

4x = 4 × x

3x = 3 × x

LCM (4x, 3x) = 4 × 3 × x = 36

∴ x = 36/12 = 3

The numbers p and q are 12 and 9 respectively.

∴ Their sum = 12 + 9 = 21