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From each of two given numbers, half the smaller number is subtracted. After such subtraction, the larger number is 4 times as large as the smaller number. What is the ratio of the numbers ?
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- 5 : 2
- 1 : 4
- 4 : 1
- 4 : 5
Correct Option: A
Let the smaller number = M and the greater number = N
According to the question ,
(N - M/2) = 4(M - M/2)
⇒ N - M/2 = 4M/2
⇒ N = 2M + M/2
⇒ N = 5M/2
∴ N : M = 5 : 2
