Question

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

Answer 1

Ratio between three numbers = 4 : 5 : 6

Let the largest number = 6x

smallest number = 4x

and third number = 5x

According to the condition,

$6x+4x=5x+55\Rightarrow 10x=5x+55\Rightarrow 10x-5x=55\Rightarrow 5x=55\Rightarrow x=\frac{55}{5}=11$

$\therefore$ Numbers will be 4x = 4 $\times$ 11 = 44,

5x = 5 $\times$ 11 = 55 and 6x = 6 $\times$ 11 = 66

Hence numbers are 44, 55, 66 Ans.