Question

two numbers are in the ratio11:12 and their sum is 460 . find the numbers

Answer 1

X/Y = 11/12
X = 11Y/12

X + Y = 460
11Y/12 + Y = 460

23Y/12 = 460
Y = 460 x 12/23
= 240
X = 460 - 240
= 220

Answer 2

Let the numbers be 11x & 12x

11x+12x= 460

23x= 460

X= 460/23

X= 20

First number = 11x = 11× 20= 220

Second number,= 12x= 12× 20= 240