Question : The sum of two numbers is equal to 25 and their difference is 20. The ratio of the two numbers is:
Option 1: 9 : 1
Option 2: 7 : 9
Option 3: 3 : 5
Option 4: 2 : 7
Correct Answer: 9 : 1
Solution :
Given: The sum of two numbers is 25 and their difference is 20.
Let $n_1,$ and $n_2$ be the two numbers.
$n_1= \frac{\text{Sum + Difference}}{2}=\frac{25+20}{2}$ = $\frac{45}{2}$
$n_2 = \frac{\text{Sum – Difference}}{2}=\frac{25-20}{2}$ = $\frac{5}{2}$
So, the required ratio = $\frac{45}{2}:\frac{5}{2}$ = 9 : 1
Hence, the correct answer is 9 : 1.
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