If 48a236 is a multiple of 18, list all possible pairs of values for a and 6. Class 8

If 48a236 is a multiple of 18, list all possible pairs of values for a and 6. Class 8

Question 1.

If 48a236 is a multiple of 18, list all possible pairs of values for a and 6. Class 8

Solution:

This number must be divisible by 2 and 9.

b can be 0 or 2 or 4 or 6 or 8.

Now, 4 + 8 + a + 2 + 3 + b = 17 + a + b.

For b = 0, this sum = 17 + a + 0 = 17 + a.

So, for divisibility of 9, a = 1.

For b = 2, 17 + a + b = 17 + a + 2 = 19 + a.

So, for divisibility of 9, a = 8.

For b = 4, 17 + a + b = 17 + a + 4 = 21 + a.

So, for divisibility of 9, a = 6.

For b = 6, 17 + a + b = 23 + a.

So, for divisibility of 9, a = 4.

For b = 8, 17 + a + b = 25 + a.

So, for divisibility of 9, a = 2.

So, values of a and b are 1 and 0, 8 and 2, 6 and 4, 4 and 6 and 2 and 8.