Question

The 3 no.s are in the ratio $4:5:6$. If the sum of the largest and smallest no. equal to the third number and $55$. Find the numbers.

Answer 1

Given that the three numbers are in the ratio $4:5:6$.

Let the three numbers be $4x,5x$ and $6x$ respectively.

Now,

According to the question-

$6x+4x=5x+55$

$10x-5x=55$

$\Rightarrow x=\frac{55}{5}=11$

Therefore,

First no. $=4\times 11=44$

Second no. $=5\times 11=55$

Third no. $=6\times 11=66$

Hence the three numbers are $44,55$ and $66$.