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Difference of two numbers is 50% of the smaller number. If greater number is 120, then find sum of both numbers is:

  • a)
    250

  • b)
    220

  • c)
    200

  • d)
    150

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Difference of two numbers is 50% of the smaller number. If greater num...
Given:
Greater number = 120
Calculation:
Let smaller number be x
According to the question
120 – x = x × (50/100)
⇒ 120 – x = x/2
⇒ 240 – 2x = x
⇒ x + 2x = 240
⇒ 3x = 240
⇒ x = 240/3
⇒ x = 80
∴ Sum of both numbers = 120 + 80 = 200
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Most Upvoted Answer
Difference of two numbers is 50% of the smaller number. If greater num...
Given Information:
The greater number is 120 and the difference between the two numbers is 50% of the smaller number.

Let's solve step by step:
- Let the smaller number be x.
- According to the given information, the difference between the two numbers is 50% of the smaller number, which can be represented as:
120 - x = 0.5x
- Solving the above equation, we get:
1.5x = 120
x = 80

Calculating the sum of both numbers:
- The sum of both numbers is:
120 + 80 = 200
Therefore, the sum of both numbers is 200. Hence, the correct answer is option 'c'.
Free Test
Community Answer
Difference of two numbers is 50% of the smaller number. If greater num...
Given:
Greater number = 120
Calculation:
Let smaller number be x
According to the question
120 – x = x × (50/100)
⇒ 120 – x = x/2
⇒ 240 – 2x = x
⇒ x + 2x = 240
⇒ 3x = 240
⇒ x = 240/3
⇒ x = 80
∴ Sum of both numbers = 120 + 80 = 200
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