The sum of two numbers is nine. one number is three more than the other. find the numbers

Question

asked Jun 16, 2020 230k views

2 Answers

Davion · Answer 1 · 2020-06-22T01:42:50+0000

The required numbers are 6 and 3

Solution: Assume the required numbers are a and b,

Given that the sum of two numbers is nine that is,
$a+b=9\rightarrow(1)$

One number is three more than the other that is,
$a=b+3\rightarrow(2)$

On substituting (2) in (1) we get,

$\Rightarrow b+3+b=9\rightarrow 2b+3=9$

On grouping the similar terms we get,

$\Rightarrow 2b=9-3 \rightarrow 2b=6 \rightarrow$

$\Rightarrow b=(6)/(2)\rightarrow b=3 \rightarrow (3)$

On substituting (3) in (1) we get,

$a+3=9\rightarrow a=9-3\rightarrow a=6$

Therefore, the number are 6 and 3.