Question

The sum of two numbers is 8. When four times the smaller

number is added to two times the larger number, the result
is 18. What is the larger number?
7
6
5
4​

Answer 1

Answer: 7

suppose: the smaller number is a

the larger number is b

because The sum of two numbers is 8 => a + b = 8 (1)

four times the smaller number is added to two times the larger number, the result is 18 => 4a + 2b = 18 (2)

(1)(2) => a + b = 8

4a + 2b = 18

<=> a = 1

b = 7

=> the larger number is 7

Explanation:

Answer 2

x+x=8

that's mean: 2.x/4 + 4.x/1 = 18/1

we find at least a common multiple of 4 and multiply the units by 4

2x + 16x = 72

18x = 72/:18

x = 4