Question

the sum of the digits of a two-digit number is 12 .if the new number formed by reversing the digits is greater than the original number by 54.find the original number.check your solution.​

Answer 1

Answer:

origanal no.=39 and No. when digits reversed=93

Step-by-step explanation:

let x and y the digits

x+y=12  {given}

54+(10x+y)=(10y+x)

54+10x+y=10y+x

9x-9y=-54

x-y=-6

x + y=12

x-y=-6

2x=6 (Simultaneous equation)

x=3

Therefore  by= 12-3 = 9

39+54=93 (verified)