Question

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.

Answer 1

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