math
posted by Kieron .
The number of sweets in Container X was 24 more than Container Y. When I removed 42 sweets from Container X and transfered then in Container Y,the number of sweets in Container Y became thrice of Container X. Find the number of sweets in Container X first.

x = The number of sweets in container x
y = The number of sweets in Container y
x = 24 + y
OR
y = x  24
When you removed 42 sweets from container x then numers of sweets in container x became: x  42
Numbers of sweets in container y became: y + 42 = thrice of ( x  42 ) = 3 ( x  42 )
y + 42 = 3 ( x  42 )
Remark : y = x  24
( x  24 ) + 42 = 3 ( x  42 )
x  24 + 42 = 3 * x  3 * 42
x + 18 = 3 x  126
18 + 126 = 3 x  x
144 = 2 x
2 x = 144 Divide both sides by 2
x = 144 / 2
x = 72
y = x  24
y = 72  24
y = 48
Cheking :
x  42 = 72  42 = 30
y + 42 = 48 + 42 = 90
90 / 30 = 3