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One-third of the sum of two numbers is 12, twice their difference is 12. Find...

Mathematics
WAEC 2023

One-third of the sum of two numbers is 12, twice their difference is 12. Find the numbers.

  • A. 22 and 14
  • B. 20 and 16
  • C. 21 and 15
  • D. 23 and 13
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Correct Answer: Option C
Explanation

Let the two numbers be x and y 

\(\frac{1}{3}( x + y) = 12\)

then x + y = 36 ..........i

2( x - y) = 12

x - y = 6 ............ii

add equations i and ii 

2x = 42

x = 21, put x = 21 into equation i

x + y = 36

21 + y = 36 

y = 36 - 21 = 15

therefore the numbers are 21 and 15

 


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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Join your school's WhatsApp group
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts