SOLUTION: a certain number is 6 less than another number. The sum of double the greater number and 12 is equal to the product of 4 and the smaller number. select which statement is true.....

Question 314921: a certain number is 6 less than another number. The sum of double the greater number and 12 is equal to the product of 4 and the smaller number. select which statement is true.....
The greater number is 18
The greater number is 14
The smaller number is 8
The smaller number is 12
Please explain. How do I figure this out?
Thanks so much,
Heather
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X=Y-6
2Y+12=4X
REPLACE X WITH (Y-6) IN THE SECOND EQUATION & SOLVE FOR Y.
2Y+12=4(Y-6)
2Y+12=4Y-24
2Y-4Y=-24-12
-2Y=--36
Y=-36/-2
Y=18 ANS.
X=18-6=12 ANS.
PROOF:
2*18+12=4*12
36+12=48
48-48

RELATED QUESTIONS
A certain number is 9 less than another number. The sum of double the great number and 6... (answered by sudhanshu_kmr)

4: EIGHT LESS THAN 5 TIMES A NUMBER IS AT MOST -23 5: THE PRODUCT OF A NUMBER AND -6 IS... (answered by mananth)

a number is 3 less than 4 times another number.if their sum is equal to117,then the... (answered by mananth)

13 is subtracted from the product of 4 and a certain number the result is equal to the... (answered by Timnewman)

the sum of 6 and twice a number is equal to 7 less than the number. What is the... (answered by ankor@dixie-net.com)

Please help me solve this word problem, the sum of 35 and a certain number is divided by... (answered by unlockmath)

There is a certain number less than 100. The sum of the digits is 7 and the product of... (answered by tommyt3rd)

One number is 6 less than another number. Their sum is 20. Find the greater... (answered by jim_thompson5910)

Twelve less than a number is equal to the product of six and that... (answered by ankor@dixie-net.com)