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