Question

The product of two, 2-digits numbers is 2117. The product of their units digit is 27 and that of tens digit is 14. Find the number​

Answer 1

Answer:

The product of two, 2-digits numbers is 2117. The product of their units digit is 27 and that of tens digit is 14.

The two numbers are 29 and 73

Step-by-step explanation:

The product of the units digits of these 2-digits numbers is 27

Let us find the factors of the number 27, the product of the units digits:

27 = 1 × 27

27 = 3 × 9

The only two possible numbers from the factors of 27 that can be at the units of the 2-digits numbers thus are 3 and 9. These are the two numbers in the units place of the 2-digit numbers

Let us find the factors of 14, the product of the digits in the tens place value:

Factors of 14:

14 = 1 × 14

14 = 2 × 7

The only possible numbers that can fit the tens place value are 2 and 7( not 14 and 1), therefore we pick 2 and 7

2 and 7 are the digits in the tens place value of the 2 - digits numbers

Therefore in the tens we have 2 and 7, while in the units we have 3 and 9

There are to possible sets of numbers from this figures:

Either 73 and 29, or 23 and 79

Find the products of these two sets of numbers:

73 × 29 = 2117

23 × 79 = 1817

Therefore the two, 2-digits numbers are 73 and 29.