Question

Sum of digits of a two-digit number is 9. When 27 is subtracted from the number, its digits get reversed. Find the original number.

Q: Answer-Sum of digits of a two-digit number is 9. When 27 is subtracted from the number, its digits get reve...

ATQ, Let ones and tens digit of the number be a and b respectively. So, original number 10b a Reverse number 10a b So, a b 9 --------- I And, 10b a - 27 10a b Or, 9b - 9a 27 Or, b - a 3 ---------- II On adding equation I and II, We get, a b b - a 9 3 Or, 2b 12 Or, b 6 On putting value of b in equation I, We get, 6 a 9 Or, a 3 Required number 10 6 3 63