the sum of two natural numbers is9 and sum of their reciprocals is 9/20 find the number
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4
Answer:
4 and 5
Step-by-step explanation:
Let the two natural numbers be 'a' and 'b'
Sum = a + b = 9
sum of their reciprocals = 1/a + 1/b = 9/20
⇒ b / ab + a / ab = 9/20
⇒ ( b + a ) / ab = 9/20
⇒ 20 ( b+ a) = 9 x ab
⇒ 20 ( 9) = 9 ab
⇒ 20 x 9 / 9 = ab
⇒ 20 = ab
⇒ 5x 4 = ab
so the numbers are 4 and 5
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