Question

If m+2n=10 and m is 50% of n, what is the value of m+n ?
a) 8
b) 10
c) 16
d) 4 ​

Answer 1

Answer:

$m+n = 6$

Step-by-step explanation:

It is given that; $m+2n = 10$              --$(1)$

                        $m$ is $50$% of $n$

                        ⇒ $m = \frac{50}{100}n$

                        ⇒ $m = \frac{1}{2}n$

                        ⇒ $2m = n$                    --$(2)$

   Substituting the value of $n$ from $(2)$ into $(1)$

⇒ $m + 2(2m) = 10$

⇒ $m + 4m = 10$

⇒ $5m = 10$

⇒ $m = 2$

   Substituting the value of $m$ into $(2)$

⇒ $2(2) = n$

⇒ $n = 4$

∴ $m+n = 2+4 = 6$