Two numbers are in the ratio 3:5. If 8 is added to each number, then t

1.	Two numbers are in the ratio 3:5. If 8 is added to each number, then the ratio becomes 2:3. Find the value of x.
Answer» Answer: 24 and 40 Step-by-step explanation: As the RATIO is 3:5, let the numbers are 3a and 5a. When 8 is ADDED to each number, ratio BECOMES 2:3. New numbers are 3a + 8 & 5a + 8. => (3a + 8) / (5a + 8) = 2/3 => 3(3a + 8) = 2(5a + 8) => 9a + 24 = 10a + 16 => 24 - 16 = 10a - 9a => 8 = a Therefore, numbers are 3a = 3(8) = 24, and, 5a = 5(8) = 40

Two numbers are in the ratio 3:5. If 8 is added to each number, then the ratio becomes 2:3. Find the value of x.

Answer»

Answer:

24 and 40

Step-by-step explanation:

As the RATIO is 3:5, let the numbers are 3a and 5a.

When 8 is ADDED to each number, ratio BECOMES 2:3.

New numbers are 3a + 8 & 5a + 8.

=> (3a + 8) / (5a + 8) = 2/3

=> 3(3a + 8) = 2(5a + 8)

=> 9a + 24 = 10a + 16

=> 24 - 16 = 10a - 9a

=> 8 = a

Therefore, numbers are

3a = 3(8) = 24, and,

5a = 5(8) = 40

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Two numbers are in the ratio 3:5. If 8 is added to each number, then the ratio becomes 2:3. Find the value of x.

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