Question
Three numbers are in the ratio 4:5:6. If the sum of the
largest and smallest numbers is 60 more than the middle number, what is the largest number?Solution
Let the numbers be 4x, 5x and 6x 6x + 4x = 5x + 60 10x = 5x + 60 10x - 5x = 60 5x = 60 x = 12 The largest number = 6x = 6 × 12 = 72
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