The sum of the digit of a two-digit number is 12. if the new number formed by reversing the digit is greater than the original number by 54, find the original number. check your solution
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The sum of the digit of a two-digit number is 12. if the new number formed by reversing the digit is greater than the original number by 54, find the original number. check your solution
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Answer:
39
Step-by-step explanation:
x + 10y = z ..... (1)
x + y = 12 ..... (2)
y + 10x = z + 54 ..... (3)
x + 10y - z = 0
x + y + 0z = 12
10x + y - z = 54
Δ = = 18
= = 162
= = 54
= = 702
x = = 9
y = = 3
z = = 39 is the original number
Check the solution: 39 + 54 = 93