Discussion

Explanation:

Let the numbers be p, q and r.

Given that p, q and r are in the ratio 3 : 2 : 4.

p : q : r = 3 : 2 : 4

Let p = 3x, q = 2x and r = 4x

Given (p + q) + (r – q) = 42

⇒ p + q + r – q = 42 ⇒ p + r = 42

⇒ 3x + 4x = 42    

⇒ 7x = 42

⇒ x = 6

p, q, r are 3x, 2x, 4x.

∴ p, q, r are 18, 12, 24

Hence, option (d).

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