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If A and B are in the ratio 4 : 5 and th...

If A and B are in the ratio `4 : 5` and the difference of their squares is 81, what is the value of A?

A

45

B

12

C

36

D

15

Text Solution

Verified by Experts

The correct Answer is:
B
`(A)/(B) = (4)/(5) = x`
`implies A = 4x, B = 5x`
दिया है
`B ^(2) - A ^(2) = 81`
`implies ( 5x) ^(2) - ( 4x ) ^(2) = 81`
`implies 9x ^(2) = 81`
`implies x ^(2) = 9` `therefore A = 4x = 4 xx 3 = 12`
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