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Bunuel
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The ages of Patrick and Michael are in the ratio of 3 : 5 and that of 18 Aug 2015, 02:19
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15% (low)

Question Stats:

82% (02:03) correct 18% (02:39) wrong based on 218 sessions

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The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 147, what is the difference between the ages of Patrick and Monica?

A. 27
B. 48
C. 45
D. 72
E. 18
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B
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KS15
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The ages of Patrick and Michael are in the ratio of 3 : 5 and that of 18 Aug 2015, 02:32
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Bunuel
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 147, what is the difference between the ages of Patrick and Monica?

A. 27
B. 48
C. 45
D. 72
E. 18

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Ages of P and Mi=3x+5x
Ages of Mi and Mo=3x:5x
Rationalizing their ages. ratio of their ages will be 9x:15x:25x
Sum=47x=147
x=3
Difference if ages of Pa and Mo=25x-9x=16x=16*3=48
Answer B
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cutegirlsimran
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Location: United States
Concentration: Finance, Operations
Schools: Rotman '18 Jindal UTDallas'18 Sauder '18 Wharton '18
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The ages of Patrick and Michael are in the ratio of 3 : 5 and that of 18 Aug 2015, 06:58
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Correct Answer must be 48
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mathivanan
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The ages of Patrick and Michael are in the ratio of 3 : 5 and that of 18 Aug 2015, 07:12
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Bunuel
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 147, what is the difference between the ages of Patrick and Monica?

A. 27
B. 48
C. 45
D. 72
E. 18

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P MI Mo
3 5
3 5
--------------
9 15 25 (3*3, 5*3, 5*5)
sum of the ratio =49
147 is three times 49
therefore, the ages are 27, 45, and 75
the difference is 48
Hence, the correct option is B
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The ages of Patrick and Michael are in the ratio of 3 : 5 and that of 18 Aug 2015, 23:55
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Bunuel
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 147, what is the difference between the ages of Patrick and Monica?

A. 27
B. 48
C. 45
D. 72
E. 18

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IMO: B

P:Mi = 3:5
Mi:Mo = 3:5
-----------------
P:Mi:Mo = 9:15:25
Thus Let
P = 9x
Mi = 15x
Mo = 25x

Given 9x+15x+25x = 147
x=3
Mo-P = 25x-9x = 16x
= 16*3 =48
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The ages of Patrick and Michael are in the ratio of 3 : 5 and that of 18 Nov 2020, 22:00
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I got the correct answer, but still don't fully understand the logic behind using Michael as the common term and deriving 9x + 15x + 25x. How does getting 9x/15x for P:Mich and 15x/25x achieve that?
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The ages of Patrick and Michael are in the ratio of 3 : 5 and that of 06 Dec 2022, 13:16
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