Two numbers are such that their difference, their sum and their product are in the ratio 1:5:24. The

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14 Apr 2022 Ratio and Proportion

Two numbers are such that their difference, their sum and their product are in the ratio 1:5:24. The product of these two numbers is

OPtion

1) 60
2) 72
3) 48
4) 84
5) 96
6) 64
7) 144
8) 108
9) 120
10) None of these

Solution

Let the numbers be x and y, then (x-y) : (x+y) : xy = 1 : 5 : 24
(x-y)/(x+y)=1/5 ⇒ 2x=3y ---(i)
(x+y)/xy=5/24 ⇒ 24x + 24y = 5xy ----(ii)
On solving Eqn. (i) & (ii), we get x=12, y=8
.'. Required product x*y = 12*8 = 96

Correct Option: 5 Best Solution (2)