Question

Two numbers are in the ratio $2:3$ and their sum is less than $15$. Select the pair satisfying the above conditions.

• A. $4,6$
• B. $5,10$
• C. $1,2$
• D. $6,9$

Answer 1

The correct option is A $4,6$

Let one of the numbers be $2x$ and the other is $3x$, where $x$ is some arbitrary variable.
$\Rightarrow 2x+3x<15$
$\Rightarrow 5x<15$
On dividing both sides by 5, we get,
$\Rightarrow x<3$
Now, the first number is $2x$
and the second number is $3x$.
$\therefore 2x<6$ and $3x<9$
$\therefore$ Among the options given,
The pair satisfying the condition: $4,6$