Question

The product of two 2digit number is 1938. if the product of their units digit is 28 and that of their tens digit is 15 find the number


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Answer 1

$\sf\large\underline\red{AnSWEr}$

Let the numbers be ab and xy, where a and x are the tenth place digits and b and y are the oneth place digits.

ab × xy = 1998

ax = 15

Only 5 and 3 are single digit numbers that yield the result 15

by = 28

Only 7 and 4 are single digit numbers that yield the result 28.

The units have to 7 and 4 and the tenth place digits are 5 and 3.

so the number is 57 × 34 or 37 ×54

Of theise only 37 × 54 = 1998.

Therefore, the two numbers are $\sf\large\underline\red{37}$ and $\sf\large\underline\red{54}$