The sum of two numbers is 15. If the sum of their reciprocals is 3/10, find the two numbers.
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Answered by
5
Answer:
5 , 10
Step-by-step explanation:
Let no be x,y
x+y=15
x=15-y
1/x+1/y = 3/10
= 1/(15-y) + 1/y = 3/10
= 15/(15y - y²)=3/10
= 150 = 45 y - 3 y²
= y² - 15 y + 50 = 0
= y² - 10 y - 5 y - 50 = 0
= y (y-10) - 5 (y-10) = 0
y = 10
x = 5
2 no are 5 and 10 .
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12
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