Question

one number is three times another. the sum of the reciprocal is 4. what are the two numbers?​

Answer 1

Step-by-step explanation:

let x and y are real numbers

y= 3x---------(1)

and sum of reciprocal is 4

1/x + 1/y =4

x+y/xy =4

put the value of y from eq (1)

x+ 3x / x(3x) = 4

4x/3x^2 =4

4x = 12 x^2

4= 12 x

x= 4/12 =1/3

therefore , x= 1/3

now put the value of x in eq(1)

y= 3x

y =3(1/3)

y= 1

hence the numbers is 1/3 and 1