Question

the sum of 1 by 3 of a number and 2 by 5 of the number is 22 what is the number​

Answer 1

Answer:

The required number is 30.

Step-by-step explanation:

Let $x$ be the number. Given that the sum of  $\frac{1}{3}$ of the number and $\frac{2}{5}$ of the number is 22. So we get the equation,

$\dfrac{1}{3}x +\dfrac{2}{5}x=22$

Adding the fractions on the left-hand side, we get,

$\dfrac{5x+3\times 2x}{3\times 5}=22$

Add the like terms on the numerator,

$\implies \dfrac{5x+6x}{15}=22\\\\\implies \dfrac{11x}{15} =22$

Multiply both sides by 15,

$\implies 11x=22\times 15 \\\\\implies x=\dfrac{22\times 15 }{11} \\\\\implies x=30$

So the number is 30.