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Question

A number consists of two digits, the sum of which is 5. If the unit's digit is multiplied by 92, it will be equal to three times of the ten's digit number. Which of these is the number?

A
41
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B
23
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C
14
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D
32
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Solution

The correct option is D 32
Let the digit in the unit's place be x. Then the digit in the ten's place is 5x
Given that 9x2=3(5x)
9x=6(5x)
9x+6x=30
15x=30
x = 2
Hence the digit in the unit's place is 2 and digit in the ten's place is 3
Therefore the number is 32.



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