Q6 of 90 Page 111

Three numbers are in the ratio of 4 : 5 : 6. If the sum of the largest and the smallest equals the sum of the third and 55, find the numbers.

Let the numbers be 4x,5x and 6x


According to the question


6x + 4x = 5x + 55


By cross multiplication


⇒ 10x - 5x = 55


⇒ 5x = 55


⇒ x = 11


So the numbers are 4x = 4 × 11 = 44, 5x = 5 × 11 = 55 and 6x = 6 × 11 = 66


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