Can you work out what happens if a > b? Class 8

Can you work out what happens if a > b? Class 8

Question 1.

Can you work out what happens if a > b? Class 8

Solution:

If a > b, then ab > ba.

So, difference of numbers

= 10a + b - (10b + a)

= 10a + b - 10b - a

= 9a - 9b

= 9(a - b)

So, the difference is divisible by 9.

Question 2.

In the trick given above, what is the quotient when you divide by 9? Class 8

Is there a relationship between the two numbers and the quotient?

Solution:

Yes. The difference of the two digits is the quotient. It may be (a - b) or (b - a).