Question

The product of two digit numbers is 2444.If the product of their units digit is 14 and tens digit is 20,then what are the two numbers?

Answer 1

So simple!

Take the factors of 14 and 20.

14 = 1 x 14 and 2 x 7.

1 x 14 cannot be included as 14 is a two digit number. But 2 x 7 can be included as the unit digits of the two digit numbers which is asked in the question as 2 and 7 are one digit numbers.

20 = 1 x 20, 2 x 10 and 4 x 5.

1 x 20 cannot be taken. 20 is two digit number.

2 x 10 cannot also be taken. 10 is two digit number.

But 4 x 5 can be taken as tens digit as both are one digit numbers.

Let's make two digit numbers with units digits 2, 7 and tens digits 4, 5.

Consider 42 and 57.

42 x 57 = 2394

So 42 and 57 can't be the answers.

Consider 47 and 52.

47 x 52 = 2444

So they can be taken as the answers.

∴ 47, 52 are the answers.

Hope this may be helpful.

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Thank you. Have a nice day.