Given the following equations:
5(a+b) = 3125, and
3125(a-b) = 5,
what is the value of b?
Answer:
Step by Step Explanation:
12 |
5 |
Step by Step Explanation:
- We know that 3125 = 55. If we replace 3125 by 5 to the power 5, we get:
55(a-b) = 5
5(a+b) = 55 - From the above step we have:
5(a - b) = 1
or, 5a - 5b = 1 ------(1)
a + b = 5 ------(2)
or, 5a + 5b = 25 ------(3) [On multiplying by 5.] - Adding equation (1) and (3) we have:
10a = 26
Or, a =13 5 - Putting this value in equation (2) we get:
b = 5 - a
Or, b = 5 -13 5
Or, b =12 5