Find the value of m if 13m + 24m = 41m

Explanation

If 13_m + 24_m = 41_m
1 * m¹ + 3 ⁰ + 2 * m¹ + 4 * m⁰ = 4 * m¹ + 1 * m⁰
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