The ten's digit of a 2 digit number is greater than the units digit by 4. If we subtract 36 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.
1). 37
2). 18
3). 81
4). 73
According to the given information,
Let’s assume the ten’s digit to be ‘b’ and the unit’s digit to be ‘a’
b – a = 4
⇒ b = a + 4 ---- Equation (1)
The number is = 10b + a
New number formed by interchanging the digits = 10a + b
10b + a – 36 = 10a + b
⇒ 9b – 36 = 9a
⇒ 9b – 9a = 36
⇒ b – a = 4 ---- Equation (2)
There is no solution to Equation (1) and (2).
Option (1), b – a = - 4
Option (2), b – a = - 7
Option (3), b – a = 7
Option (4), b – a = 4
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