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What is the value of a in the equation below?

Class: KCPE

Subject: Mathematics

Topic: Algebra

Lesson Summary

What is the value of a in the equation

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A.717
B.21617
C.3
D.4



Text Answer


Remove fractions by multiplying each term by 12 (the LCM of 3 and 4)

124(3𝑎−5)+123(2𝑎+3)=4×12

3(3𝑎−5)+4(2𝑎+3)=48

9a – 15 + 8a + 12 = 48

9a-15+15+8a+12 = 48+15-12

17a = 51

17a17=5117

a=3

The correct answer is C (3).

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