Question

PLEASE HELP!

The sum of two numbers is 12. Four times the smaller number is two less than the larger. What are the two numbers?



20 and 12


10 and 2


2 and 4


12 and 4

Answer 1

10 and 2 is the answer


let the two numbers equal to x and y where x < y.

x + y = 12
y = 12 - x

4x = y - 2
4x = (12 - x) - 2
4x = 12 - 2 - x
4x = 10 - x
4x + x = 10
5x = 10
x = 10/5
x = 2 (Ans)


y = 12 - x
y = 12 - 2
y = 10 (Ans)