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If 3p = 4q and 9p = 8q - 12, find the value of pq.

Mathematics
WAEC 2019

If 3p = 4q and 9p = 8q - 12, find the value of pq.

  • A. 12
  • B. 7
  • C. -7
  • D. -12
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Correct Answer: Option A
Explanation

9p = 8q - 12

9p = 2(4q) - 12

9p = 2(3q) - 12

9p = 6p - 12

3p = -12 

p = -4

\(\frac{3 \times -4}{4} = \frac{4q}{4}\) 

q = 13

pq = -3 x -4 

= 12


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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free