Question

Medal&Fan
There are two consecutive even numbers such that five times the smaller minus three times the greater is 6. What is the smaller number?
Select one:
a. 2
b. 4
c. 6
d. 8

Answer 1

the answer is C: 6

Answer 2

If x is an even number, then x+2 is the next even number (because if you only add 1 to an even number then you have an odd number). X+2 is the greater number.

five times the smaller number can be expressed as 5x.

Three times the greater number is expressed as 3(x+2).

The equation is then:
5x - 3(x+2) = 6

using the distributive law the equation becomes:
5x -3x -6 = 6

combine like terms:
2x - 6 = 6

then: 2x = 12 and x = 6
x+2 = 8

5(6) - 3(8) = 30 - 24 = 6

Answer 3

wow. thankss.c: