A.M. = 7, product = 45.
Let numbers be (x, y). [ \dfrac{x+y}{2} = 7 \implies x+y = 14, \quad xy = 45 ]
[ t^2 - 14t + 45 = 0 \implies (t-5)(t-9) = 0 ]
Answer: 5 and 9
11TH•Mathematics•Sequences And Series•Question 4
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The A.M. of two numbers is 7 and their product is 45. Find the numbers.
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