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
Correct Answer: C. 21 and 15
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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