Question

Two numbers are in the ratio 5:8 and their hcf is 4.find the number

Answer 1

Answer:

because two numbers are not equal

Answer 2

The numbers are 20 and 32

Given : Two numbers are in the ratio 5:8 and their HCF is 4

To find : The numbers.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the two numbers)

Let, the two numbers = 5x and 8x

(Obtained from the ratio 5:8)

Now, calculating HCF of 5x and 8x :

• 5x = 5 × x
• 8x = 2 × 2 × 2 × x
• Common factor = x
• HCF of 5x and 8x = x

According to the data mentioned in the question,

x = 4

So,

The first number = 5x = 5×4 = 20

The second number = 8x = 8×4 = 32

(These will be considered as the final results.)

Hence, the numbers are 20 and 32