Question
Mathematics Question on Equations
If m and n are natural numbers such that 2m − 2n = 960 what is value of m
A
10
B
12
C
16
D
Cannot be determined
Answer
10
Explanation
Solution
As 210 is 1024, so now we will look for value of m to be greater than or equal to 10.
Let take m = 10, then
1024-960 = 64, [As this equation is given in question]
Since 64 is of the form 2m, then
so n = 6
with this it satisfies the equation
The correct option is (A)