Question

Sum of two numbers is 50 and sum of three reciprocal is 1/12 so find these two numbers

Answer 1

Answer:

first number = 30, second number = 20

Step-by-step explanation:

let first number is X

second number is 50-X

1/X+1/50-X= 1/12

X+50-X/X(50-X)= 1/12

50/50X-X^2= 1/12

12*50= 50X-X^2

600= 50X-X^2

X^2-50X+600=0

X^2-30X-20X+600=0

X(X-30)-20(X-30)=0

(X-30), (X-20)

X= 30,20