Question

if p and q are two positive numbers, p+q=480 and p is 40 greater than q then fill the correct number​

Answer 1

       $\underline{\bold{Answer:}}$

       $\text{260 and 220}$

       $\underline{\bold{Step-by-step-explaination:}}$

       $\text{The given positive numbers are }p \text{ and } q$

       $\text{From the question we get two equations, they are:}$

       $p + q = 480 \text{ ------ (i)}$

       $p - q = 40 \text{ ------ (ii)}$

       $\text{Adding (i) and (ii)}$

$\implies p+q + p - q = 480 + 40$

       $\text{Simplifying...}$

$\implies 2p = 520$

       $\text{Transposing 2 from L.H.S to R.H.S}$

$\implies p = \dfrac{520}{2}$

       $\text{Simplifying...}$

$\implies p = 260$

       $\text{Now, substituting the value of }p \text{ in (i)}$

$\implies 260 + q = 480$

       $\text{Transposing 260 from L.H.S to R.H.S}$

$\implies q = 480-260$

       $\text{Simplifying...}$

$\implies q = 220$

 $\therefore \text{ }\text{ The two positive numbers are 260 and 220}$