the sum of the digits of a two digit number is 12 if the digits are reversed the new number is 7 upon 4 times the original number determine the original number
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Answer:
48
Step-by-step explanation:
Let x and y be the digits of the two digit number.
So the number is 10x + y.
Given,
x + y = 12 ---------------- [1]
10y + x = 7/4(10x + y)
=> 40y + 4x = 70x + 7y
=> 66x = 33y
=> 2x = y -------------- [2]
Substitute [2] in [1]
x + y = 12
=> x + 2x = 12
=> 3x = 12
=> x = 4
=> y = 8.
Thus the original number is 48.
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