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shradhagrover18
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Two numbers are in the ratio 5:6. If 22 is added to the 01 Jul 2012, 14:11
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91% (02:13) correct 9% (03:17) wrong based on 221 sessions

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Two numbers are in the ratio 5:6. If 22 is added to the first number and 22 is subtracted from the second number then the ratio of the two numbers becomes 6:5. Find the sum of the two numbers.

A. 248
B. 242
C. 346
D. 343
E. 265
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B
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Bunuel
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Two numbers are in the ratio 5:6. If 22 is added to the 01 Jul 2012, 14:47
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shradhagrover18
Two numbers are in the ratio 5:6. If 22 is added to the first number and 22 is subtracted from the second number then the ratio of the two numbers becomes 6:5. Find the sum of the two numbers.

A. 248
B. 242
C. 346
D. 343
E. 265
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Say the two numbers are \(a\) and \(b\), then we have that \(\frac{a}{b}=\frac{5x}{6x}\) and \(\frac{5x+22}{6x-22}=\frac{6}{5}\). Solving gives \(x=22\), so \(a=5x=110\) and \(b=6x=132\), hence \(a+b=110+132=242\).

Answer: B.
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Two numbers are in the ratio 5:6. If 22 is added to the 12 Apr 2016, 09:21
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no need to compute: 5x + 6x = x(5+6) so we should look for a power of 11. answer b
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Two numbers are in the ratio 5:6. If 22 is added to the 23 Feb 2020, 19:53
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Please see the screenshot for solution
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Two numbers are in the ratio 5:6. If 22 is added to the 02 Sep 2022, 10:38
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shradhagrover18
Two numbers are in the ratio 5:6. If 22 is added to the first number and 22 is subtracted from the second number then the ratio of the two numbers becomes 6:5. Find the sum of the two numbers.

A. 248
B. 242
C. 346
D. 343
E. 265
Show more

Let the number are 5x and 6x
so, according to the question (5x+22)/(6x-22)=6/5
B
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Two numbers are in the ratio 5:6. If 22 is added to the 13 Jan 2025, 11:32
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2 ways to solve.
1. Look for multiple of 11 in answer choices
2. Given a shift of 22 flips the ratio, x = 22. So 11x = 242

shradhagrover18
Two numbers are in the ratio 5:6. If 22 is added to the first number and 22 is subtracted from the second number then the ratio of the two numbers becomes 6:5. Find the sum of the two numbers.

A. 248
B. 242
C. 346
D. 343
E. 265
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Two numbers are in the ratio 5:6. If 22 is added to the 16 Jan 2025, 12:24
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shradhagrover18
Two numbers are in the ratio 5:6. If 22 is added to the first number and 22 is subtracted from the second number then the ratio of the two numbers becomes 6:5. Find the sum of the two numbers.

A. 248
B. 242
C. 346
D. 343
E. 265
Show more
Ratio of the numbers = 5:6
After 22 is added from the first and 22 is subtracted from the second, the SUM of the numbers will remain unchanged.
New ratio = 6:5
Observe that initial sum is 11 and the final sum is also 11. So that part is taken care of.
The first number has increased by 1 and the second number has reduced by 1
This 1 is actually 22 (as mentioned)
Thus, scale up all the values by 22:
First number = 5*22 = 110
Second number = 6*22 = 132
Sum = 242

Ans B

Note: If the sum had not been the same in both cases, we would have taken the LCM
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