The sum of two no. Is 15 if the sum of their reciprocal is 3upon10 find the number
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Numbers are 10 and 5
Step-by-step explanation:
Let us assume two numbers as x,y.
x + y = 15 (given)
1/x + 1/y = 3/10 (given)
By solving the 2nd equation
(x + y)/xy = 3/10
1/xy = 3/150
xy = 50
y = 15 - x
Substituting in 2nd equation
15x - x² = 50
x² - 15x + 50 = 0
By solving the quadratic equation
x gets two values 10 , 5
So the numbers are 10,5
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