Question

The product of two two-digit numbers is 2538. If the product of their unit digit is 28 and the tens digit is 18, what are the numbers?

Answer 1

Every two digit is expressible in the form 10 x + y

For example :

98 = 9 × 10 + 8

76 = 7 × 10 + 6

65 = 6 × 10 + 5

Given the product of 2 two-digit numbers = 2538

Let the numbers be x and y .

x y = 2538 .

The product of the unit digit = 28

This means that the only possibility = 7 and 4.

Digits are less than 9 so only 7 × 4 = 28

Product of tens digit = 18

Only 9 and 2 is possible here and 6 and 3.

It is because 9 ×2 = 18 , 6 × 3 = 18

Ten's place

9

2

6

3

Unit's place

7

4

Trial and error

Possibility of x

27

Then y = 2538 / 27

           = 94

Hence 27 and 94 can be the 2 numbers .

Possibility of x AND y cannot be the following which are not divisible by 2538 :

⇒ 97

⇒ 67

⇒ 37

⇒ 34

⇒ 64

⇒ 24

Cancel all these...

ANSWER :

27 and 94

Answer 2

Hi

Here is the answer

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