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The ratio of two numbers is 5 : 8 and their difference is 117. What is the smaller number among the two?
- a)195
- b)200
- c)205
- d)210
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The ratio of two numbers is 5 : 8 and their difference is 117. What is...
Understanding the Problem
To find the smaller number given the ratio and the difference, we start with the information provided:
- The ratio of two numbers is 5:8.
- The difference between these two numbers is 117.
Expressing the Numbers
Let the two numbers be represented as:
- Smaller number = 5x
- Larger number = 8x
Here, 'x' is a common multiplier.
Setting Up the Equation
According to the problem, the difference between the larger number and the smaller number is given as:
\[
8x - 5x = 117
\]
This simplifies to:
\[
3x = 117
\]
Solving for x
To find 'x', we divide both sides by 3:
\[
x = \frac{117}{3} = 39
\]
Calculating the Numbers
Now that we have 'x', we can find the actual numbers:
- Smaller number = 5x = 5 * 39 = 195
- Larger number = 8x = 8 * 39 = 312
Conclusion
The smaller number among the two is:
- 195
This confirms that the correct answer is option 'A'.
To find the smaller number given the ratio and the difference, we start with the information provided:
- The ratio of two numbers is 5:8.
- The difference between these two numbers is 117.
Expressing the Numbers
Let the two numbers be represented as:
- Smaller number = 5x
- Larger number = 8x
Here, 'x' is a common multiplier.
Setting Up the Equation
According to the problem, the difference between the larger number and the smaller number is given as:
\[
8x - 5x = 117
\]
This simplifies to:
\[
3x = 117
\]
Solving for x
To find 'x', we divide both sides by 3:
\[
x = \frac{117}{3} = 39
\]
Calculating the Numbers
Now that we have 'x', we can find the actual numbers:
- Smaller number = 5x = 5 * 39 = 195
- Larger number = 8x = 8 * 39 = 312
Conclusion
The smaller number among the two is:
- 195
This confirms that the correct answer is option 'A'.
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Community Answer
The ratio of two numbers is 5 : 8 and their difference is 117. What is...
Hence, Option A is correct.
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The ratio of two numbers is 5 : 8 and their difference is 117. What is the smaller number among the two?a)195b)200c)205d)210Correct answer is option 'A'. Can you explain this answer?
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