SOLUTION: Twice the sum of a number and eight, equals three times the sum of the number and four. Find the number? I don't understand what it is asking..

Question 250252: Twice the sum of a number and eight, equals three times the sum of the number and four. Find the number?
I don't understand what it is asking..
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let n = "the number"
:
Write an equation for what it says:
:
Twice the sum of a number and eight, equals three times the sum of the number and four.
2(n + 8) = 3(n + 4)
Multiply what's inside brackets
2n + 16 = 3n + 12
:
16 - 12 = 3n - 2n
:
4 = n
;
the number is 4:
:
:
Check this by replacing n with 4 in the original equation:
2(4 + 8) = 3(4 + 4)
2(12) = 3(8)
:
Did I make this understandable to you?

RELATED QUESTIONS
how do i translate this...three times the sum of a number and four equals the number plus (answered by solver91311)

Twice the sum of a number and six equals three times the sum of the number and... (answered by jim_thompson5910)

three times the sum of twice a number and 6 equals 5 times the number less 10 find the... (answered by sofiyac)

what algebraic equation represents "four times the sum of a number, x, and eight equals... (answered by stanbon,tommyt3rd)

four times the sum of twice a number and three is twelve. find the... (answered by ankor@dixie-net.com)

Four times the sum of a number and -72 equals -16. Find the... (answered by mananth)

Four times the sum of a number and five is equal to the difference of twice the number... (answered by josgarithmetic)

The sum of twice a number and three equals five. Find the... (answered by Fombitz)

9. The sum of three times a number and eight is twenty-two. Find the... (answered by richwmiller)