Test Index

WAEC Mathematics 2023 Paper

Question : 7

Total: 50

Solution:

Concept:

Forming and solving linear equations from given conditions.

Explanation:

Let the two numbers be

x

and

y

One-third of their sum is

12

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

x + y = 36 \quad \text{...(i)}

Twice their difference is

12

2(x - y) = 12

x - y = 6 \quad \text{...(ii)}

Add equations (i) and (ii):

(x + y) + (x - y) = 36 + 6

2x = 42

x = 21

Substitute

x = 21

into equation (i):

21 + y = 36

y = 15

Thus, the two numbers are

21

and

15

, which matches option C.

Answer:

The numbers are

21

and

15

Correct option: C.

21

and

15

Go to Question:

Prev Question

Next Question