Question

4. The sum of two integers is 35 and the ratio of these
Inlegers is 2:3. find the integers ?​

Answer 1

       $\underline{\bold{Solution:}}$

       $\text{The given ratio of two integers is }2:3$

       $\text{Let the common factor be }x$

$\implies \text{The integers are }2x \text{ and }3x$

       $\text{It is also given that the sum of the two integers is }35$

$\implies 2x + 3x = 35$

$\implies 5x = 35$

$\implies x = \dfrac{35}{5}$

$\implies x = 7$

 $\therefore \text{ }\text{ }\boxed{\text{The integers are }2x = 2(7) = 14 \text{ and }3x = 3(7) = 21 }$