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Wiley Edge Number System Quiz-1

Question 1

Time: 00:00:00

The ratio of two numbers is 3:8. If 4 is added to both numbers, the ratio becomes 5:12. What is the sum of the two numbers?

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Let the numbers be 3x and 8x. (3x + 4)/(8x + 4) = 5/12.
Cross-multiplying and simplifying the equation gives 36x + 20 = 40x + 10.
By solving for x, we find x = 5.
Therefore, the sum of the two numbers is 3x + 8x = 11x = 11(5) = 55.

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Question 2

Time: 00:00:00

The ratio of two numbers is 2:5. If 3 is subtracted from both numbers, the ratio becomes 4:7. What is the sum of the two numbers?

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Let the numbers be 2x and 5x.
(2x-3)/(5x-3) = 4/7.
Solving this equation gives x = 3.
Therefore, the sum of the two numbers is 2x + 5x = 7x = 7(3) = 21.

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Question 3

Time: 00:00:00

Two numbers are in the ratio of 3:8. If 4 is added to both numbers, the ratio becomes 5:10. What is the product of the two numbers?

120

160

180

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Let the numbers be 3x and 8x. (3x+4)/(8x+4) = 5/10.

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Question 4

Time: 00:00:00

The ratio of two numbers is 7:9. If 6 is added to both numbers, the ratio becomes 8:11. What is the smaller number?

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Let the numbers be 7x and 9x. (7x+6)/(9x+6) = 8/11.
Solving this equation gives x = 2.
Therefore, the smaller number is 7x = 7(2) = 14.

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Question 5

Time: 00:00:00

Two numbers are in the ratio of 5:6. If 3 is subtracted from both numbers, the ratio becomes 4:5. What is the larger number?

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Let the numbers be 5x and 6x. (5x-3)/(6x-3) = 4/5. Solving this equation gives x = 3. Therefore, the larger number is 6x = 6(3) = 18.

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Question 6

Time: 00:00:00

The ratio of two numbers is 2:3. If 4 is added to the first number and 6 is subtracted from the second number, the ratio becomes 3:4. What is the original ratio of the numbers?

2:3

4:5

5:7

6:9

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Let the numbers be 2x and 3x. (2x+4)/(3x-6) = 3/4.
Solving this equation gives x = 6.
Therefore, the original ratio is 2x:3x, which simplifies to 2:3.

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Question 7

Time: 00:00:00

Two numbers are in the ratio of 5:8. If 10 is added to both numbers, the ratio becomes 3:4. What is the larger number?

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Let the numbers be 5x and 8x. (5x+10)/(8x+10) = 3/4.
Solving this equation gives x = 10.
Therefore, the larger number is 8x = 8(10) = 80.

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Question 8

Time: 00:00:00

The ratio of two numbers is 3:7. If 2 is subtracted from the first number and 3 is added to the second number, the ratio becomes 2:5. What is the original ratio of the numbers?

3:7

4:9

5:12

6:14

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Let the numbers be 3x and 7x. (3x-2)/(7x+3) = 2/5.
Solving this equation gives x = 1.
Therefore, the original ratio is 3x:7x, which simplifies to 3:7.

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Question 9

Time: 00:00:00

Two numbers are in the ratio of 2:5. If 6 is added to the first number and 10 is subtracted from the second number, the ratio becomes 3:4. What is the smaller number?

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Let the numbers be 2x and 5x. (2x+6)/(5x-10) = 3/4.
Solving this equation gives x = 8.
Therefore, the smaller number is 2x = 2(8) = 16.

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Question 10

Time: 00:00:00

The ratio of two numbers is 4:9. If 5 is added to the first number and 3 is subtracted from the second number, the ratio becomes 5:11. What is the sum of the two numbers?

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Let the numbers be 4x and 9x. (4x+5)/(9x-3) = 5/11. Solving this equation gives x = 3. Therefore, the sum of the two numbers is 4x + 9x = 13x = 13(3) = 39.

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