m=85
m=75
m=45
m=35
The correct option is D m=75
Given, m - m/12 = 1 - m/63.
Multiply both sides by 6, we get,
⇒ 6(m - m/12) = (1 - m/63)6
⇒ 6m - m/2 = 6 - m/11
[By Distribution Law]
⇒ 11m - m/2 = 12 - m/11
Multiplying by 22
⇒ 242m - 11m = 264 - 2m
⇒ 231m = 264 - 2m
⇒ 233m = 264
⇒ m = 264/233
This is not an option, there is something wrong with the equation or the options provided. Let's try another approach.
Let's assume the equation was: m - m/12 = 1 - m/63
Multiply both sides by 6, we get,
⇒6(m - m/12) = (1 - m/63)6
⇒6m - m/2 = 6 - 2m/21
Multiplying by 42
⇒ 252m - 21m = 252 - 4m
⇒ 231m + 4m = 252
⇒ 235m = 252
⇒ m = 252/235
This is not an option either.
Let's try the original problem again with LCM:
LCM of 12 and 63 is 252
(252m - 21m)/252 = (252 - 4m)/252
231m = 252 - 4m
235m = 252
m = 252/235
Let's assume there was a typo in the question and try to solve it as:
m - m/12 = 1 - m/63
Multiplying by 252
252m - 21m = 252 - 4m
231m + 4m = 252
235m = 252
m ≈ 1.07
None of the options match. There might be an error in the given equation or options.