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Evo23
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What number must be added to each of 2, 16, 20, 52 so that the results 10 Mar 2020, 06:37
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Difficulty:

35% (medium)

Question Stats:

71% (01:40) correct 29% (01:51) wrong based on 59 sessions

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What number must be added to each of 2, 16, 20, 52 so that the results are in proportion?
A 5
B 7
C 10
D 11
E 12
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E
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What number must be added to each of 2, 16, 20, 52 so that the results 10 Mar 2020, 08:32
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Evo23
What number must be added to each of 2, 16, 20, 52 so that the results are in proportion?
A 5
B 7
C 10
D 11
E 12

Asked: What number must be added to each of 2, 16, 20, 52 so that the results are in proportion?

Let the number to added is x

(2+x)/(16+x) = (20+x)/(52+x)
(2+x)/14 = (20+x)/32
16(2+x) = 7(20+x)
32 + 16x = 140 + 7x
9x = 108
x = 12

IMO E
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What number must be added to each of 2, 16, 20, 52 so that the results 10 Mar 2020, 09:31
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nice explanation, i just randomly took from options and found..started with option c)..
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What number must be added to each of 2, 16, 20, 52 so that the results 10 Mar 2020, 10:58
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Evo23
What number must be added to each of 2, 16, 20, 52 so that the results are in proportion?
A 5
B 7
C 10
D 11
E 12

Substitution method:

A. 7/21 & 27/59 —> NO
B. 9/23 & 27/59 —> NO
C. 12/26 & 30/62 —> NO
D. 13/27 & 31/63 —> NO
E. 14/28 & 32/64 —> YES (both equal to 1/2)

Option E

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What number must be added to each of 2, 16, 20, 52 so that the results 12 Mar 2020, 07:24
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Evo23
What number must be added to each of 2, 16, 20, 52 so that the results are in proportion?
A 5
B 7
C 10
D 11
E 12

Since the answer choices are not big numbers, let’s just check each choice instead of solving the problem algebraically.

A. 5

2 + 5 = 7, 16 + 5 = 21, 20 + 5 = 25 and 52 + 5 = 57

Is 7 / 21 = 25/ 57 ? No.

B. 7

2 + 7 = 9, 16 + 7 = 23, 20 + 7 = 27 and 52 + 7 = 59

Is 9 / 23 = 27/ 59 ? No.

C. 10

2 + 10 = 12, 16 + 10 = 26, 20 + 10 = 30 and 52 + 10 = 62

Is 12 / 26 = 30/ 62 ? No.

D. 11

2 + 11 = 13, 16 + 11 = 27, 20 + 11 = 31 and 52 + 11 = 63

Is 13 / 27 = 31/ 63 ? No.

E. 12

2 + 12 = 14, 16 + 12 = 28, 20 + 12 = 32 and 52 + 12 = 64

Is 14 / 28 = 32/ 64 ? Yes, since both are 1/2.

Answer: E
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