The product of four consecutive natural numbers is 360. Find the numbers.
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Answer:
Let the two numbers be x and y
As per the question
y
x
=
9
10
Or x=
9
10
y....(1)
And
x×y=360
⇒
9
10
y×y=360
⇒
9
10
y
2
=360
⇒y
2
=
10
360×9
⇒y
2
=324
⇒y=
324
⇒y=±18
Putting y=±18 in (1)
⇒x=
9
10
×±18
⇒x=±20
Hence the two numbers are ±20 and ±18.
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