SOLUTION: the difference between 2 positive integers is 12 whereas their sum is equal to four times the smaller integer. what are the two integers?

Question 992412: the difference between 2 positive integers is 12 whereas their sum is equal to four times the smaller integer. what are the two integers?
Answer by Timnewman(323) (Show Source): You can put this solution on YOUR website!
Hi dear,
Let x=larger integer,
y=smaller integer.
from your question,
x-y=12---(1)
x+y=4y--(2)
from equ 1,
x=y+12---(3)
put 3 in 2
y+12+y=4y
2y+12=4y
4y-2y=12
2y=12
y=6
Put y=6 in 3
x=6+12
x=18
The larger number is 18,
The smaller number is 6
HOPE THIS HELPS?
RELATED QUESTIONS
One positive integer is four times another, a third integer is six more than the smaller... (answered by CubeyThePenguin)

The difference between 65 and a positive integer is equal to four times the integer (answered by richwmiller)

The sum of two consecutive integers is equal to the difference between nine times the... (answered by clearblueskai)

the sum of 2 integers is 25. One less than twice the larger integer is equal to one more... (answered by CubeyThePenguin)

The sum of four consecutive even integers is equal to seven times the first integer? What (answered by ReadingBoosters)

The difference between two number is 10 and their sum is equal to 4 times the smaller... (answered by rfadrogane)

the difference between 48 and a positive integer is equal to five times the interger.... (answered by checkley77)

can you guys help me again.... 2. Five times the first of two consecutive integers... (answered by greenestamps,josgarithmetic)

There are 2 consecutive positive odd integers such that the square of the smaller integer (answered by bucky)