Share
Notifications

View all notifications
Advertisement

If M: N is the Duplicate Ratio of M + X: N + X; Show that X2 = Mn. - Mathematics

Login
Create free account


      Forgot password?

Question

If m: n is the duplicate ratio of m + x: n + x; show that x2 = mn.

Solution

`m/n = (m + x)^2/(n + x)^2`

`m/n = (m^2 + x^2 + 2mx)/(n^2 + x^2 + 2nx)`

`mn^2 + mx^2 + 2mnx = m^2n + nx^2 + 2mnx`

`x^2(m - n) = mn(m - n)`

`x^2 (m - n) = mn(m - n)`

`x^2 = mn`

  Is there an error in this question or solution?
Advertisement

APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(A) | Q: 27 | Page no. 88
Advertisement

Video TutorialsVIEW ALL [1]

If M: N is the Duplicate Ratio of M + X: N + X; Show that X2 = Mn. Concept: Ratios.
Advertisement
View in app×