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Question
Find the two consecutive natural numbers whose product is 20.
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Solution
Let the two consecutive natural numbers be ‘x’ and ‘x + 2’
⇒ Given that the product of the natural numbers is 20
Hence ⇒ x(x + 1) = 20
⇒ ๐ฅ2 + ๐ฅ = 20
⇒ ๐ฅ2 + ๐ฅ - 20 = 0
⇒ ๐ฅ2 + 5๐ฅ - 4๐ฅ - 20 = 0
⇒ ๐ฅ(๐ฅ + 5) - 4(๐ฅ + 5) = 0
⇒ ๐ฅ = -5 ๐๐ ๐ฅ = 4
Considering positive value of x as x ∈ N
For r = 4, x + 1 = 4 + 1 = 5
∴ The two consecutive natural numbers are 4 as 5.
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