Exams › SSC CGL (Prelims) › General

Two numbers are in the ratio 5:7. If 9 is added to each, the new ratio becomes 8:11. What are the original numbers?

1. 135 and 189
2. 150 and 210
3. 120 and 168
4. 180 and 252

Correct answer: 135 and 189

Solution

Let the numbers be \(5x\) and \(7x\). Then \(\frac{5x+9}{7x+9} = \frac{8}{11}\). Solving gives \(55x+99 = 56x+72\), so \(x=27\). Hence the numbers are \(135\) and \(189\).

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