The product of two 2-digit numbers is 2444. If the product of their unit digits is 14 and tens digits is 20, then what are the two numbers?
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Answers
Answer:47, 52
Step-by-step explanation:
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.
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