Correct option is A
Given:
- Sum of two numbers = 176
- Difference of two numbers = 16
- Required: Ratio of the two numbers
Concept Used:
Let the two numbers be x and y, where x > y.
Then:
- x + y = 176
- x − y = 16
Add and subtract the equations to find x and y.
Solution:
Step 1: Add the two equations:
x + y = 176
x − y = 16
———————
2x = 192 => x = 96
Step 2: Use x to find y:
x + y = 176 => 96 + y = 176 => y = 80
Step 3: Ratio of the two numbers:
96 : 80
Divide both by 16:
96 ÷ 16 = 6
80 ÷ 16 = 5
So, the ratio is 6 : 5
Final Answer: (A) 6 : 5
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