Two numbers are in the ratio 2 : 5. If 16 is added to both the numbers, their…
2018
Two numbers are in the ratio 2 : 5. If 16 is added to both the numbers, their ratio becomes 1 : 2. The numbers are :
- A.
16, 40
- B.
20, 50
- C.
28, 70
- D.
32, 80
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Correct answer: A, D
Let the numbers be 2x and 5x.
(2x + 16) / (5x + 16) = 1 / 2
Cross-multiply: 2(2x + 16) = 1(5x + 16)
4x + 32 = 5x + 16
x = 16
The numbers are 2x = 2(16) = 32 and 5x = 5(16) = 80.
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