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

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

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Answer 1

Correct Answer: 72

Solution : The ratio of the two numbers is 3 : 7.
Let the numbers as $3 x$ and $7 x$ for some number $x$ .
Given that the sum of the two numbers is 180, we can write the equation:
$\Rightarrow 3 x + 7 x = 180$
$\Rightarrow x = 18$
The positive difference between the two numbers $= 7 x - 3 x = 4 x = 4 \times 18 = 72$
Hence, the correct answer is 72.

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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: 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