Question

the sum of two number is 25 and the sum of their reciprocal is 3 by 10 find the number​

Answer 1

Step-by-step explanation:

3/10=25

reciprocal of it is 10/3

10/3=25

send 3 to RHS

10=25×3

10=75

Answer 2

The two numbers are 10 and 5.

Step-by-step explanation:

Let the two numbers be x and y.

Given that,

• x + y = 15 ... ... (1)

and $\dfrac{1}{x}+\dfrac{1}{y}=\dfrac{3}{10}$

⇒ $\dfrac{x+y}{xy}=\dfrac{3}{10}$

⇒ $\dfrac{15}{xy}=\dfrac{3}{10}$, by (1)

⇒ $\dfrac{xy}{15}=\dfrac{10}{3}$

⇒ xy = 50

⇒ x (15 - x) = 50, by (1)

⇒ 15x - $x^{2}$ = 50

⇒ $x^{2}$ - 15x + 50 = 0

⇒ $x^{2}$ - 10x - 5x + 50 = 0

⇒ x (x - 10) - 5 (x - 10) = 0

⇒ (x - 10) (x - 5) = 0

So, either x - 10 = 0 or, x - 5 = 0

⇒ x = 10, x = 5

Therefore the required solution is x = 10, 5

Thus the two numbers are 10 and 5.

Correct question:

The sum of two numbers is 15 and the sum of their reciprocal is $\dfrac{3}{10}$. Find the numbers.

#SPJ3