The sum of the two digits of a two-digit number is 12. The difference

1.	The sum of the two digits of a two-digit number is 12. The difference between the first digit and second digit of the two-digit number is 2. What is the product of the two digits the two digit number?1. 562. 353. 454. Cannot be determined5. None of these
Answer» Correct Answer - Option 2 : 35 Given: The sum of the two digits of a two-digit number is 12. The difference of the two digits of a two-digit number is 2. Concept Used: The two-digit number = 10x + y Calculation: Let the unit place be y Let the ten's place be x Then, the sum of the two digits of a two-digit number = 12 ⇒ x+ y = 12 ..... (I) The difference of the two digits of a two-digit number = 2 ⇒ x - y = 2 .....(II) On adding equation (I) and (II) ⇒ 2x = 14 ⇒ x = 7 Then, on putting value of x in equation (I) ⇒ x + y = 12 ⇒ 7 + y = 12 ⇒ y = 5 Then, the product of two digits = 7 × 5 = 35 ∴ The product of the two digits of the two digit number is 35.

The sum of the two digits of a two-digit number is 12. The difference between the first digit and second digit of the two-digit number is 2. What is the product of the two digits the two digit number?1. 562. 353. 454. Cannot be determined5. None of these

Answer» Correct Answer - Option 2 : 35

Given:

The sum of the two digits of a two-digit number is 12.

The difference of the two digits of a two-digit number is 2.

Concept Used:

The two-digit number = 10x + y

Calculation:

Let the unit place be y

Let the ten's place be x

Then, the sum of the two digits of a two-digit number = 12

⇒ x+ y = 12 ..... (I)

The difference of the two digits of a two-digit number = 2

⇒ x - y = 2 .....(II)

On adding equation (I) and (II)

⇒ 2x = 14

⇒ x = 7

Then, on putting value of x in equation (I)

⇒ x + y = 12

⇒ 7 + y = 12

⇒ y = 5

Then, the product of two digits = 7 × 5 = 35

∴ The product of the two digits of the two digit number is 35.

Discussion

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