SOLUTION: Find two consecutive even integers such that 4 times the smaller number is two more than 3 times the larger number.

Question 472728: Find two consecutive even integers such that 4 times the smaller number is two more than 3 times the larger number.

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x be the smaller number.
let x + 2 be the larger number.
4 times the smaller number is 2 more than 3 times the larger number.
in equation form, this becomes:
4x = 3 * (x+2) + 2
simplify this to get:
4x = 3x + 6 + 2 which becomes:
4x = 3x + 8
subtract 3x from both sides of this equation to get:
x = 8
this means that x+2 = 10
the smaller number is 8 and the larger number is 10.
4 times the smaller number is equal to 32.
3 times the larger number + 2 is equal to 32.
requirements of the problem check out ok, so the solution is good.
the smaller number is 8.
the larger number is 10.

RELATED QUESTIONS
Find two consecutive even integers such that 4 times the larger is 10 more than three... (answered by Fombitz)

Find two consecutive even integers such that 3 times the smaller is 12 more than 2 times... (answered by checkley77)

Find two consecutive odd integers such that 4 times the larger is 29 more than 3 times... (answered by Alan3354)

find two consecutive odd integers such that 4 times the larger is 29 more than 3 times... (answered by ewatrrr)

find two consecutive odd integers such that 4 times the smaller is 9 more than 3 times... (answered by algebrahouse.com)

Find two consecutive integers such that 4 times the larger is 28 more than 3 times the... (answered by ikleyn)

Find two consecutive even integers such that three times the smaller is 30 more than... (answered by richwmiller,Fombitz)

find two consecutive even integers such that four times the smaller is 28 more than the... (answered by CubeyThePenguin)

Find two consecutive even integers such that the smaller is 26 less than 3 times the... (answered by College Student)