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The ratio of two positive numbers is 3 to 4. If $k$ is added to
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08 Jan 2026, 13:07
08 Jan 2026, 13:07
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Question Stats:
78% (02:06) correct
21% (03:24) wrong based on 14 sessions
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The ratio of two positive numbers is 3 to 4. If $k$ is added to each number the new ratio will be 4 to 5 , and the sum of the numbers will be 117 . What is the value of $k$ ?
◯ 1
◯ 13
◯ 14
◯ 18
◯ 21
◯ 1
◯ 13
◯ 14
◯ 18
◯ 21
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Re: The ratio of two positive numbers is 3 to 4. If $k$ is added to
[#permalink]
24 Jan 2026, 06:12
24 Jan 2026, 06:12
1
3x+4x=7x=117⇒x=117/7
4x+k3x+k=4/5
5(3x+k)=4(4x+k)
15x+5k=16x+4k
5k−4k=16x−15x
k=x ; 7x+2x=9x=117 Substitute
x=13 ;k=13
IMO-B
Also, 13 is only number from answer choice divisible by 117
4x+k3x+k=4/5
5(3x+k)=4(4x+k)
15x+5k=16x+4k
5k−4k=16x−15x
k=x ; 7x+2x=9x=117 Substitute
x=13 ;k=13
IMO-B
Also, 13 is only number from answer choice divisible by 117
gmatclubot
Re: The ratio of two positive numbers is 3 to 4. If $k$ is added to [#permalink]
24 Jan 2026, 06:12
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