two whole numbers whose sum is 63 can't be in the ratio

Question

Question : The ratio of two numbers is 3 : 7. The sum of the two numbers is 180. what is the positive difference between the two numbers?
Option 1: 80
Option 2: 72
Option 3: 85
Option 4: 78

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Answer 1

Hi

If two numbers have 63 as their sum then the can't be in the ratio of 3 : 1 .

For example ,if we assume that the numbers are in the ratio 3 : 1.

Then the two numbers will be 3x and 1x.

Now , Sum of these two numbers as per question = 63

Then,
3x + 1x = 63
Or, 4x = 63
Or,x = 63/4
x = 15.75, but it is not a whole number.

So the numbers can't be in the ratio of 3 : 1 .

Thankyou

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two whole numbers whose sum is 63 can't be in the ratio

Related Questions

Question : The ratio of two numbers is 3 : 7. The sum of the two numbers is 180. what is the positive difference between the two numbers?Option 1: 80Option 2: 72Option 3: 85Option 4: 78

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Question : The ratio of two numbers is 3 : 7. The sum of the two numbers is 180. what is the positive difference between the two numbers?
Option 1: 80
Option 2: 72
Option 3: 85
Option 4: 78

Question : The ratio of two numbers is 4 : 5. If both numbers are increased by 4 the ratio becomes 5 : 6. What is the sum of the two numbers?
Option 1: 9
Option 2: 18
Option 3: 27
Option 4: 36

Question : The ratio of two numbers is 3 : 5. If both numbers are increased by 8, the ratio becomes 13 : 19. What is the sum of the two numbers?
Option 1: 32
Option 2: 48
Option 3: 40
Option 4: 72

Question : The difference between the two numbers is 24 while the sum of those two numbers is 120. Which of the options below can be the ratio of those two numbers?
Option 1: 3 : 5
Option 2: 3 : 2
Option 3: 4 : 5
Option 4: 5 : 8