Question

Two number are in the ratio $8:3$. If the sum of numbers is $143$, Find the numbers.

• A. $14,39$
• B. $104,40$
• C. $10,39$
• D. $104,39$

Answer 1

Answer: (D)

Given: The ratio of two numbers is $8:3$.

Let the First number be $8x$

Second number be $3x$, where $x$ is positive integer.

It is given that, sum of the numbers is $143$.

$\Rightarrow 8x+3x=143$

$\Rightarrow 11x=143$

$\Rightarrow x=\frac{143}{11}$

$\Rightarrow x=13$

Therefore,

First number $=8x=8\times 13=104$ and

Second number $=3x=3\times 13=39$

Hence, the numbers are $104,39$.

hence, Option D is correct.