Find the value of m if 13

_{m}+ 24_{m}= 41_{m}-
**A.**

8 -
**B.**

6 -
**C.**

5 -
**D.**

2

##### Correct Answer: Option B

##### Explanation

If 13_{m} + 24_{m} = 41_{m}

1 * m^{1} + 3 ^{0} + 2 * m^{1} + 4 * m^{0} = 4 * m^{1} + 1 * m^{0}

1 * m + 3 * 1 + 2 * m + 4 * 1 = 4 * m + 1 * 1

m + 3 + 2m + 4 = 4m + 1

3m + 7 = 4m + 1

4m -3m = 7 – 1

m = 6