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Two numbers are in the ratio of 4 : 7. I...

Two numbers are in the ratio of 4 : 7. If 5 is subtracted from each, the ratio becomes 1 : 2. Find the greater number.

A

15

B

40

C

20

D

35

Text Solution

Verified by Experts

The correct Answer is:
D
Let 1st number be 4x and 2nd number be 7 x
According to the questions
` = ( 4 x - 5)/( 7 x - 5) = (1)/(2)`
`rArr 8 x - 10 = 7 x - 5`
`:. x = 5`
` :.` Greater number `= 7 x = 7 x 5 = 35`
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