Carcass wrote:
If \(\frac{(a+2b)}{(17b-2a)}=1\), which of the following must be true about the relationship between a and b?
A. a is 3 more than b.
B. b is 3 more than a.
C. a is \(\frac{1}{5}\) of b.
D. a is 5 times b.
E. a is \(\frac{3}{5}\) of b.
Given: (a + 2b)/(17b - 2a) = 1
Multiply both side by (17b - 2a) to get: = a + 2b = 17b - 2a
Subtract 2b from both sides to get: a = 15b - 2a
Add 2a to both sides to get: 3a = 15b
Divide both sides by 3 to get: a = 5b (a equals 5 times b)
Answer: D
Cheers,
Brent