SOLUTION: Bo took three positive numbers, subtracted the second from the first, and then subtracted the third from that difference. Jo took the same three numbers in the same order, but subt
Algebra.Com
Question 451265: Bo took three positive numbers, subtracted the second from the first, and then subtracted the third from that difference. Jo took the same three numbers in the same order, but subtracted the third from the second, then subtracted this difference from the first number. If jo's result was 12 larger than bo's, what was the third number that they both used? explain how you got this answer?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Three positive numbers, a, b, c
:
Bo took three positive numbers, subtracted the second from the first, and then subtracted the third from that difference.
a - b - c
:
Jo took the same three numbers in the same order, but subtracted the third from
the second, then subtracted this difference from the first number.
a - (b - c)
a - b + c
:
If jo's result was 12 larger than bo's, what was the third number that they both used?
bo's + 12 = jo's
a - b - c + 12 = a - b + c
combine like terms on the left
a - a - b + b - c - c + 12 = 0
-2c + 12 = 0
-2c = -12
2c = 12
c = 12/2
c = +6
RELATED QUESTIONS
Three numbers are in an arithmetic progression with a common difference of 6. If 4 is... (answered by greenestamps)
Three numbers are such the second is two less than twice the first, and the third is... (answered by mananth)
Using three consecutive odd integers, such that
if three times the second is subtracted (answered by CubeyThePenguin,josgarithmetic)
Please help....word problems are the death of me!!!!
The sum of three numbers is 1. If... (answered by josgarithmetic,ikleyn)
consider three consecutive positive intergers if the third number is subtracted from the... (answered by solver91311)
Using three consecutive even integers, such that if three times the third is subtracted... (answered by CubeyThePenguin)
Three numbers form a geometric progression. If 4 is subtracted from the third term, then... (answered by greenestamps)
Using three consecutive integers, such that
if three times the first is subtracted... (answered by ankor@dixie-net.com)
. When the second number is subtracted from the first number, the difference is... (answered by Cromlix)