Question

the sum of two numbers one of which is two thirds of the other is 45 find the smaller number

Answer 1

18 is smaller number ,the other is 27
x2/3+x=45
5x/3=45
5x=45×3
x=45×3/5
x=27

Answer 2

The smaller number is 18.

Step-by-step explanation:

Let larger number = x and  smaller number = $\dfrac{2}{3} x$

To find, the smaller number = ?

According to question,

$x+\dfrac{2}{3} x=45$

⇒ $\dfrac{3x+2x}{3} =45$

⇒ $5x=45\times 3$

⇒ $5x=135$

⇒ $x =\dfrac{135}{5} =27$

∴ Smaller number $=\dfrac{2}{3} \times 27=2\times 9 =18$

Hence, the smaller number is 18.