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A two digit number is such that the prod...

A two digit number is such that the product of its digits is 12. When 36 is added to this number, digits interchange their places. Find the number

Text Solution

Verified by Experts

Let first digit of number is `x` and second digit is `y`.
Then, the number will be `10x+y`.
Here, we are given,
`xy = 12->(1)`
Also, when we interchange the digits, number becomes, `10y+x`.
Also, we are given,
`10x+y+36 = 10y+x`
`=>9x=9y - 36`
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