Question

The product of 2 digit number is 1938. If the product of their unit;s digit is 28 and that of Ten’s digit is15, find the numbers.​

Answer 1

1938 = 2 x 969 = 2 x 3 x 323 = 2 x 3 x 17 x 19. The two desired numbers are products of these factors. (3x19) and (2x17), i,e, 57 and 34, which satisfy the ten's digit rule as well.

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Answer 2

Given :-

The product of 2 digit number is 1938. If the product of their unit;s digit is 28 and that of Ten’s digit is 15

To Find :-

Numbers

Solution :-

At first prime factorizing 1938

1938 =  2 × 3 × 17 × 19

Now

Taking the unit digit and tens digit

3 × 19

57

And

2 × 17

34

Therefore,

The number are 34 and 57