# The product of 2 digit number is 1938. If the product of their unit digit is 28 and that of tens digit is 15. FInd the numbers.

Its 34 and 57.

Kindly reply if you want the explanation.

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i knew it. Need solution

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Correction

The 4th line of my answer should be :

As this is a 2 digit number, X and A have to be 3 and 5, not necessarily in the same order.

Sorry for the mistake.

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Let us take the numbers to be XY and AB.

X*A = 15. So X and A have to be the factors of 15.

Factors of 15 are 1*15, and 3*5.

As this is a 2 digit number, X and Y have to 3 and 5, not necessarily in the same order.

Y*B = 28. So Y and B have to be the factors of 28.

Factors of 28 are 1*28, 2*14, and 4*7.

Again as this is a 2 digit number, Y and B have to be 4 and 7, not necessarily in the same order.

Now the numbers possible are :

34 and 57 or 37 and 54.

Clearly 37*54 is not equal to 1938. But 34*57 = 1938.

So, the answer is 34 and 57.

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sorry for checking it late . Thanks.

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O! I DON'T KNOW.
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34.57
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