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4. One of the two digits of a two-digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
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Step-by-step explanation:
Given
4. One of the two digits of a two-digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
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- Orignal Number?
Solution
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Q. One of the two digits of a two-digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
Ans. 62
Step by step explanation:
Let one's digit be x
then ten's digit is 3x
number= 10× 3x + 1× x
Number obtained by interchanging the digits
= 10× x + 1 × 3x = 13x
According to the question
31x + 13x = 88
or 44x = 88
or 44/88 = 2
So, number is 10 × 3 × 2 + 1 × 2
= 60+2 = 62