SOLUTION: divide 184 into two parts such that one third of one part may exceed one seventh of the other part by 8

Question 172003: divide 184 into two parts such that one third of one part may exceed one seventh of the other part by 8
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
divide 184 into two parts such that one third of one part may exceed one seventh of the other part by 8
:
Let one part = x
and
the other part = (184-x)
:
"one third of one part may exceed one seventh of the other part by 8"
x = (184-x) + 8
:
Multiply equation by 21 to get rid of the denominators; results:
7x = 3(184-x) + 21(8)
:
7x = 552 - 3x + 168
:
7x + 3x = 552 + 168
:
10x = 720
x =
x = 72 is one part
and
184 - 72 = 112 is the other part
;
:
Check these values in the statement
"one third of one part may exceed one seventh of the other part by 8"
(72) = (112) + 8
24 = 16 + 8
RELATED QUESTIONS
divide 184 into two parts such that one-third of one part may exceed one-seventh of the... (answered by sachi)

Divide 184 into two parts such that 1/3 of one part may exceed 1/7 of the other part by... (answered by stanbon)

divide 184 in two parts as one third of one part may exceed to one seventh to other by 7. (answered by 03008082502)

divide 184 in 2 parts such one-third may exceed one-seventh of another part by 8 P.S=... (answered by josgarithmetic)

divide 184 in 2 parts such one-third may exceed one-seventh of another part by 8 P.S=... (answered by rothauserc)

Divide Rs 300 into two parts such that half of one part may be less than the other by 48. (answered by rfer)

Divide 20 into two parts such that three times the square of one part exceeds the other... (answered by amarjeeth123)

Divide $128 into two parts such that one-third of the first part is less than 1 5 of... (answered by ewatrrr)

Divide 300 into two parts so that half of one part may be less than the other by... (answered by AAfter Search)