Ratio and proportion · solved example
Two numbers are in the ratio 5 : 7. If 6 is added to each, the ratio becomes 11 : 15. What is the smaller number?
- 48
- 54
- 60Correct
- 66
- 72
Solution
Let the numbers be 5x and 7x. Then (5x + 6) / (7x + 6) = 11 / 15. Cross-multiplying, 15(5x + 6) = 11(7x + 6), so 75x + 90 = 77x + 66, giving 2x = 24 and x = 12. The smaller number is 5 x 12 = 60.