Question

In finding HCF of two numbers by division method, the last divisor is 17 and the quotients are 1, 2, 1 and 5.
respectively. The difference between the two numbers is
​

Answer 1

Answer:

56 please follow mark brainliest

Answer 2

The difference between two numbers is 102.

In finding HCF of two numbers by division method, the last divisor is 17 and the quotients are 1, 2, 1 and 5.

We have to find the difference between the two numbers.

We have last divisor is 17 and last quotient is 5.

So the dividend = divisor × quotient = 17 × 5 = 85

Now divisor = 85 , quotient = 1 and remainder = 17

∴ Dividend = divisor × quotient + remainder

⇒ Dividend = 85 × 1 + 17 = 102

Again divisor = 102 , quotient = 2 and remainder = 85.

∴ Dividend = divisor × quotient + remainder

= 102 × 2 + 85 = 210 + 85 = 295

Again, Divisor = 295 , quotient = 1 and remainder = 102.

∴ Dividend = divisor × quotient + remainder

= 295 × 1 + 102 = 397

Hence, two numbers are 295 and 397.

Now , The difference between the number is (297 - 295) = 102.

Therefore the difference between two numbers is 102.