Question

the ratio of the number of mango trees to ckoo trees in an orchard in 2:3 if 5 more trees of each are planted the ratio of the trees would be 5;7 find the number of trees of each type

Answer 1

Ratio of mango tree:ckoo tree = 2:3 = 2x,3x
5 more of each kind is added
2x+5/3x+5 = 5/7
7*(2x+5) = 5*(3x+5)
14x+35 = 15x + 25
x = 10
Hence, mango trees = 2x = 2*10 = 20
Ckoo trees = 3x = 3*10 = 30
Hope it helps.

Answer 2

Answer:

20 and 30

Step-by-step explanation:

Let the number of mango trees and chikoo trees be 2x and 3x respectively.  When 5 more trees are planted, mango trees are 2x + 5 and chikoo trees are 3x + 5.   Given, their ratio is 5 : 7.

⇒ (2x + 5)/(3x + 5) = 5/7

⇒ 7(2x + 5) = 5(3x + 5)

⇒ 14x + 35 = 15x + 25

⇒ 10 = x

  Hence,

Mango tress = 2x = 2(10) = 20

Chikoo trees = 3x = 3(10) = 30