Question

5. The sum of two numbers is 8 and the difference
of their squares is 32. Find the numbers.
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Answer 1

Answer:

6 and 2

Step-by-step explanation:

8- 1+7

2+6

3+5

4+4

subtraction of squares

1×1-7×7= 49-1=48

2×2-6×6= 36-4=32

3×3-5×5= 25-9=16

4×4-4×4= 16-16=0

Therefore, 6+2=8

6×6-2×2= 36-4= 32

Answer 2

Answer:

x=6

y=2

Step-by-step explanation:

difference of squares = x^2 - y^2

=(x+y)(x-y) ....(1)

then ATQ, x+y = 8

putting in (1)

8*(x-y)=32

x-y = 32/8

x-y = 4

& x+y = 8

and then we can take out value of x and y

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