The product of two numbers is 9216. When the larger number is divided

1.	The product of two numbers is 9216. When the larger number is divided by the smaller number, the quotient is 16 leaving no remainder. What is the difference between the numbers?1. 3842. 4083. 3604. 380
Answer» Correct Answer - Option 3 : 360 Given: The product of two numbers is 9216 Concept used: The larger number is divided by the smaller number, the quotient is 16 leaving no remainder. Larger number is 16 times of the smaller number Calculation: Let the smaller number be x And larger number be 16x According to the question: The product of two numbers = 9216 ⇒ (x × 16x) = 9261 ⇒ x²= 9261/16 ⇒ x2 = 576 ⇒ x2 = 24² ⇒ x = 24 Now, The smaller number = x = 24 Larger number = 16x = 16 × 24 = 384 Difference = 384 – 24 = 360 ∴ The difference between the numbers are 360.

The product of two numbers is 9216. When the larger number is divided by the smaller number, the quotient is 16 leaving no remainder. What is the difference between the numbers?1. 3842. 4083. 3604. 380

Answer» Correct Answer - Option 3 : 360

Given:

The product of two numbers is 9216

Concept used:

The larger number is divided by the smaller number, the quotient is 16 leaving no remainder.

Larger number is 16 times of the smaller number

Calculation:

Let the smaller number be x

And larger number be 16x

According to the question:

The product of two numbers = 9216

⇒ (x × 16x) = 9261

⇒ x²= 9261/16

⇒ x2 = 576

⇒ x2 = 24²

⇒ x = 24

Now, The smaller number = x = 24

Larger number = 16x = 16 × 24 = 384

Difference = 384 – 24 = 360

∴ The difference between the numbers are 360.

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