Math, asked by gurbachansinghbal, 8 months ago

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 rojalinsamal537
0

Answer:

I think 25.15

Step-by-step explanation:

If my ans is correct

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Answered by saidhanush56
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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