43.In a two-digit number, the digits differ by 1. If the digits are interchanged, the number increases by 20%. What is the number?
Ans43:(d) Sol: 45;
Method 1: By calculating from options, 45 + (20% of 45) = 45 + 9 = 54;
Method 2: Let the digit in the units place = a; the digit in the tens place = b;
Given, a-b = 1; and (10a+b) = (10b+a) + (10a+b); Solving this, a= 5; b=4;