Question

Two numbers are in ratio of $1:5$. Sum of the numbers is $36$. Find the larger number.

• A. $3$
• B. $9$
• C. $30$
• D. $18$

Answer 1

The correct option is C $30$

Let the first number be $x$ then the other number will be $5x$ because it is given that the ratio of the numbers is $1:5$.

Also, the sum of the numbers is $36$ that is:

$x+5x=36\Rightarrow 6x=36\Rightarrow x=\frac{36}{6}\Rightarrow x=6$

Therefore, the first number is $x=6$ and the other number will be $5x=5\times 6=30$.

Hence, the larger number is $30$.