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BECE Mathematics 2016 Paper

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Question : 35

Total: 40

Study the triangle of odd numbers and use it to answer the question below

a+b+c

24
29
36
43

Solution:

Concept:

In a triangle of consecutive odd numbers, each next odd number is obtained by adding

2

.

Explanation:

From the first row, the numbers are

13

,

b

,

c

,

19

.

So,

b = 13 + 2 = 15

and

c = 15 + 2 = 17

.

From the second row, the numbers are

7

,

9

,

a

.

So,

a = 9 + 2 = 11

.

Therefore,

a+b+c = 11+15+17 = 43

.

Answer:

43

(Option D).

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