Question

7m + 2n / 7m -2n =5/3 Use properties of proportion to find out
(i) m:n
(ii) m2 +n2/m2-n2

Answer 1

Answer:

8/7

113/15

Step-by-step explanation:

7m + 2n / 7m -2n =5/3

Let say m = nk

(7nk + 2n)/(7nk - 2n) = 5/3

=> (7k + 2)/(7k - 2) = 5/3

=> 21k + 6 = 35k - 10

=> 16 = 14k

=> k = 16/14

=> k = 8/7

m/n = k = 8/7

(m² + n²)/(m² - n²)

= n²(k² + 1)/n²(k² - 1)

= (k² + 1)/(k² - 1)

= ( (8/7)² + 1) /( (8/7)² - 1)

= (8² + 7²)/(8² - 7²)

= (64 + 49)/(64 - 49)

= 113/15