Replace the letters with appropriate digits

(a) 73K ÷ 8 = 9L (b) 1MN ÷ 3 = MN

(a) Given, 73K ÷ 8 = 9L

Need to find out K, L

Here, remainder is not in a decimal form.

So, we need to substitute K with the values from 1,2,3…till we reach a number such that it is exactly divisible by 8.

∴ K = 6

Substituting the value, we get 736 ÷ 8 = 92

∴ L = 2

Hence, K = 6 and L = 6

(b) Given, 1MN ÷ 3 = MN

Need to find the values of M and N

Here, remainder is not in a decimal form and M, N exists in the resultant value after it is divided by 3

So, we need to substitute M, N with the values from 0,1,2,3…till we reach a number such that it is exactly divisible by 3.

∴ M = 5 and N = 0

150 ÷ 3 = 50

Hence, M = 5 and N = 0