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8. The product of two consecutive even numbers is 12 more than the square of the smaller even number. Find
both the numbers.
[04 Marks]
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Answer:
Let smaller number be x
Bigger number will be x+2
x(x+2)=x²+12
x²+2x=x²+12
x²and x² cancell out
2x=12
x=12÷2
x=6
x+2=8
Therefore the two numbers are 6 and 8
Verification:
6×8=6²+12
48=48
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