Problems on Numbers

A. 6
B. 12
C. 18
D. None of these
Let the numbers be 3x, 4x and 6x.
Then, 3x x 4x x 6x = 1944 72×3 = 1944
x3 = 27 ,=> x = 3
∴ Largest number = 6x = 18,

A. 15
B. 26
C. 28
D. 13
Let the number be x.
Then, x + x2 = 182 x2 + x – 182 = 0
(x + 14) (x – 13) = 0 x = 13.

A. 104
B. 114
C. 315
D. 325
Let the numbers be x and y. Then, x + y = 25 and x – y = 13.
4xy = (x + y)2 – (x – y)2 = (25)2 – (13)2 = 625- 169 = 456
=> xy = 114.

A. 9
B. 12
C. 15
D. 18
Let the numbers be x and y.
Then, x + y = 33     …(i)
and x – y = 15     …(ii)
Solving (i) and (ii), we get : x = 24, y = 9.
∴ Smaller number = 9.