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Answer :
The correct answer for the following diamond pattern problem is
- A. 3 and 5 respectively
- B. 3 and 1 respectively
- C. 2 and 7 respectively
- D. 1/6 and 5/6 respectively
Solving diamond patterned problem
The given diamond pattern is solved by multiplying the right and left number to give the top number. Then adding the right and left number to give the lower number.
A:
x × y = 15
x + y = 8
From (2)
x = 8 - y
x × y = 15
(8 - y) × y = 15
-y² + 8y = 15
-y² + 8y - 15 = 0
y² - 8y + 15 = 0
y² - 5y - 3y + 15 = 0
y(y - 5) - 3(y - 5) = 0
(y - 5) (y - 3) = 0
y = 5 or y = 3
When y = 5
Substitute into
x + y = 8
x + 5 = 8
x = 8 - 5
x = 3
When y = 3
Substitute into
x + y = 8
x + 3 = 8
x = 8 - 3
x = 5
B.
3 × 1 = 3
3 + 1 = 4
C.
5 × y = 10
5y = 10
y = 10/5
y = 2
5 × 2 = 10
5 + 2 = 7
D.
1/2 × 1/3 = 1/6
1/2 + 1/3 = (3+2) /6
= 5/6
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