1296 toffees were distributed amongst A, B, C and D such that A got twice as much as C and B got thrice as much as D. If A got 20 less toffees than B, find the sum of toffees with A and D.
Answers
Given : 1296 toffees were distributed amongst A, B, C and D such that A got twice as much as C and B got thrice as much as D. If A got 20 less toffees than B,
To find : the sum of toffees with A and D.
Solution:
A got twice as much as C
=> A = 2C
B got thrice as much as D
=> B = 3D
A got 20 less toffees than B
A = B - 20
=> 2C = 3D - 20
Total A + B + C + D = 1296
=> 2C + 3D + C + D = 1296
=> 3C + 4D = 1296
2C = 3D - 20 => 6C = 9D - 60
3C + 4D = 1296 => 6C + 8D = 2592
=> 9D - 60 + 8D = 2592
=> 17D = 2652
=> D = 156
B = 3D = 3 * 156 = 468
A = B - 20 = 468 - 20 = 448
A + D = 448 + 156
=> A + D = 604
A 448
B 468
C 224
D 156
sum of toffees with A and D is 604
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