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The sum of three integers A, B and C is 120. A is one third of the sum
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05 Mar 2021, 08:58
05 Mar 2021, 08:58
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Question Stats:
82% (02:28) correct
17% (02:57) wrong based on 29 sessions
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The sum of three integers A, B and C is 120. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
A. 20
B. 30
C. 45
D. 50
E. 70
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 20
B. 30
C. 45
D. 50
E. 70
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: The sum of three integers A, B and C is 120. A is one third of the sum
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05 Mar 2021, 09:26
05 Mar 2021, 09:26
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a + b + c = 120 ____________ (1)
a = \(\frac{1}{3}\)(b+c)
3a = b + c
From eq (1)... 3a = 120 - a
a=30
b = \(\frac{1}{5}\)(a+c)
5b = a + c
From eq (1)... 5b = 120 - b
b = 20
So 30 + 20 + c = 120
C = 70
Answer E
a = \(\frac{1}{3}\)(b+c)
3a = b + c
From eq (1)... 3a = 120 - a
a=30
b = \(\frac{1}{5}\)(a+c)
5b = a + c
From eq (1)... 5b = 120 - b
b = 20
So 30 + 20 + c = 120
C = 70
Answer E
General Discussion
Re: The sum of three integers A, B and C is 120. A is one third of the sum
[#permalink]
05 Mar 2021, 09:26
05 Mar 2021, 09:26
1
Given a+b+c=120
And
a=(b+c)/3
b=(a+c)/5
Substitute b+c=120-a
3a=120-a
a=30
Substitute a+c=120-b
5b=120-b
b=20
c=120-30-20=70
Option E is correct
Posted from my mobile device
And
a=(b+c)/3
b=(a+c)/5
Substitute b+c=120-a
3a=120-a
a=30
Substitute a+c=120-b
5b=120-b
b=20
c=120-30-20=70
Option E is correct
Posted from my mobile device
