Question

two numbers are in the ratio 2:7 then if the first is 4 times 189 find the second
if the second is 8 times 94.5 find the first

Answer 1

Answer:

let the numbers be 2x and 7x

2x=4×189=756

x=756÷2

=272

7x=94.5×8

=756

x=756÷7=108

Answer 2

If the first is 4 times 189, the second number is 2646.

If the second is 8 times 94.5, the first number is 216.

Given,

Ratio of two numbers = 2:7

Scenario 1: First number is 4 × 189

Scenario 2: Second number is 8 × 94.5

To Find,

Scenario 1: Find the second number

Scenario 2: Find the first number

Solution,

This problem can be solved using a simple method.

We have been given that two numbers are in the ratio 2:7

Let the first number be x and the second number be y

Then x:y = 2:7

⇒ x/y = 2/7

⇒ 7x = 2y

let this be equation (1)

Scenario 1: First number is 4 × 189

⇒ x = 4 × 189

⇒ x = 756

Now, from equation (1), we can get the second number.

⇒ 7×756 = 2y

⇒ 5298 = 2y

⇒ y = 5298/2

⇒ y = 2646

Scenario 2: Second number is 8 × 94.5

⇒ y = 8 × 94.5

⇒ x = 756

Now, from equation (1), we can get the first number.

⇒ 7x = 2×756

⇒ 7x = 1512

⇒ x = 1512/7

⇒ x = 216

Hence, if the first is 4 times 189, the second number is 2646 and If the second is 8 times 94.5, the first number is 216.

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