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The ratio of two numbers is 4 ∶ 5. If one is subtracted from the first number, and two is added to the second number, then the ratio becomes 3 ∶ 4. What will be the ratio when eight and four are, respectively, added to the first and second number?

The ratio of two numbers is 4 ∶ 5. If one is subtracted from the first number, and two is added to the second number, then the ratio becomes 3 ∶ 4. What will be the ratio when eight and four are, respectively, added to the first and second number? Correct Answer 8 ∶ 9

Given:

The ratio of the two numbers is 4:5

After subtracting one and adding two in the first and second number, the ratio becomes 3:4

Concept:

The Cross Multiplication method is used.

Calculation:

Let the numbers be 4x and 5x

According to the question,

(4x - 1)/(5x + 2) = 3/4

16x - 4 = 15x + 6

16x - 15x = 6 + 4

x = 10

First number = 4x = 4 × 10 = 40

Second number = 5x = 5 × 10 = 50

After adding eight and four to the first and second numbers we get

First number = 40 + 8 = 48

Second number = 50 + 4 = 54

Required ratio = 48 : 54

∴ The ratio will be 8 : 9

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