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Out of two numbers, 66.67% of the bigger number is equal to 90% of the smaller number. If the sum of the numbers is 188, what is the value of the greater number?
  • a)
    100
  • b)
    108
  • c)
    112
  • d)
    120
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Out of two numbers, 66.67% of the bigger number is equal to 90% of the...
Given Information:
- 66.67% of the bigger number = 90% of the smaller number
- Sum of the two numbers = 188

Let's Assume:
Let the bigger number be 'x' and the smaller number be 'y'.

Calculating the Equations:
- 66.67% of x = 90% of y
- 0.667x = 0.9y
- x = (0.9/0.667)y
- x = 1.35y

Using the Sum of the Numbers:
- x + y = 188
- Substitute x = 1.35y into the equation
- 1.35y + y = 188
- 2.35y = 188
- y = 188/2.35
- y = 80

Calculating the Greater Number:
- x = 1.35y
- x = 1.35 * 80
- x = 108
Therefore, the greater number is 108, which corresponds to option B.
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Community Answer
Out of two numbers, 66.67% of the bigger number is equal to 90% of the...

Bigger number : Smaller number = 27 : 20

Hence, Option B is correct.
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