Question

of the
1911s
4. A certain number between 10 and 100 is 8 times the sum of its digits, and if 45 be subtracted from it the
digits will be reversed. Find the number.
5. A number consists of three digits, the right-hand digit being zero. If the left hand and the middle digits​

Answer 1

Answer:

Solution: Let the number be 10x+y.

8(x+y) - 45 = 10y + x, or

8x+8y - 45 = 10y + x, or

7x = 2y + 45

If y = 2, x = 7. It means the number is 27.

If y = 9, x = 9. It means the number is 99.

The number is 27 or 99. Answer.