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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. |
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Answer» 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 Learn More A total of 40 apples are distributed among A, B, C, D, E AND F. The ... 10 students a, b, c, d, e, f, g, h, i and j are SITTING in row facing WEST. B ... In a PARK, nine friends are sitting in a row facing north. M is at the ... |
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