Question

A two-digit number has a sum of its digits equal to 11. Additionally, if 54 is subtracted from this number, the resulting number has its digits reversed. What is the original number?

Q: Answer-A two-digit number has a sum of its digits equal to 11. Additionally, if 54 is subtracted from this...

ATQ, Let ones and tens digit of the number be a and b respectively. So, original number 10b a Reverse number 10a bSo, a b 11 --------- I And, 10b a - 54 10a b Or, 9b - 9a 54 Or, b - a 6 ---------- IIOn adding equation I and II, We get, a b b - a 11 6 Or, 2b 17 Or, b 8On putting value of b in equation I, We get, 8 a 11 Or, a 3Required number 10 8 3 83