14 boys can do a work in X days and 22 girls can do the same work in (X + 10).The ratio of work done by 7 boys and 9 girls in the same time is in the ratio 7 : 3. Find the value of X.
7b/9g = 7/3 {b = boys, g= girls} ⇒ 21 b = 63 g ⇒ 1b = 3 g ∴ 14 ×X × 3 = 22 × (X + 10) × 1 42X = 22X + 220 20X = 220 ∴ X = 11 days.
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