the sum of the digits of a two-digit number is 12 .if the new number f

1.	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» rong>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)

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»

rong>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)