10 sum of two numbers is 15 and
sum of their reciprocals is 3/10 the
numbers are ---
O 10,5
O 25.15
O 15.10
O 10,12
Answers
Answered by
0
Answer:
I think 25.15
Step-by-step explanation:
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Abhilipsa Samal
class-V
Answered by
1
Step-by-step explanation:
given,
sum of two numbers is 15
sum of their reciprocals is 3/10
so, let numbers be x and y
x + y =15
1/x +1/y = 3/10
y= 15 - x is equation -1
then,
1/x + 1/y =3/10
1/x +1/15-x = 3/10
15/15x- x^2=3/10 (cross multiplication )
3(15x-x ^2) = 15 x 10
3x^2 -45x +150 =0
3(x^2 - 15x + 50) =0
x^2 -15x +50 =0
x^2 - 5x - 10x +50 =0
x(x-5) - 10( x -5) = 0
(x-10) (x-5) = 0
by doing factorization we get
x =10 or 5
now substitute x = 10 In equation -1
y = 15 - x
=15 -10
= 5
hence the numbers are 10 and 5
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