The sum of two odd numbers is 38 and their product is 325. What is three times the larger number?
[IBPS (SO) , 2014]
Explanation
Let the first odd number be 'x'
Then, Second odd number is 'y'
Then, x+y=38 ---Eq(1)
And x×y=325
(x-y)²=(x+y)²-4xy
(x-y)²⇒ (38)²-4×325
(x-y)²⇒ 1444-1300
x-y⇒ √144
or x-y=12 ---Eq(2)
By solving Eq(1) and Eq(2), we get
⇒ 2x=50
⇒ x=25, y=13
∴ Required number =3×25=75
Hence, Option B is correct.
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