The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.

Open in App

Solution

Let two numbers be a and b
a+b =8
b= (8-a) --------- (i)
and it is given,
$15 left parenthesis 1 over a plus 1 over b right parenthesis equals 8 left parenthesis 1 over a plus 1 over b right parenthesis equals 8 over 15 fraction numerator a plus b over denominator a b end fraction equals 8 over 15$
$fraction numerator 8 over denominator a b end fraction equals 8 over 15 a b equals 15$

So, a,b = 3,5 or 5,3

Suggest Corrections

Similar questions

\frac{8}{15}

The sum of two numbers is 8 and the sum of their reciprocals is $\frac{8}{15}$ . Find the numbers.

Join BYJU'S Learning Program