SOLUTION: One number is 54 more than the other number. If twice the larger number is divided by the smaller, the quotient is 6 and the remainder is 16. What is the sum of the number?

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Question 892333: One number is 54 more than the other number. If twice the larger number is divided by the smaller, the quotient is 6 and the remainder is 16. What is the sum of the number?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
B=54%2BA
.
.
.
2B%2FA=6%2B16%2FA
2B=6A%2B16
Substituting from above,
2%2854%2BA%29=6A%2B16
54%2BA=3A%2B8
2A=46
A=23
.
.
Then,
B=54%2B23
B=77
Their sum is
A%2BB=23%2B77=100