.In a farm two types of trees are grown, apple and orange trees. There are 576 apple trees and 1024 orange trees in such a way that each row contains as many trees as the number of rows. Answer the following (i) Find the number of rows of apple tree
(a) 28
(b) 26
(c) 24
Answers
Given : In a farm two types of trees are grown, apple and orange trees. There are 576 apple trees and 1024 orange trees in such a way that each row contains as many trees as the number of rows.
To Find : the number of rows of apple tree
Solution:
each row contains as many trees as the number of rows.
Case1 :
This is Done individually for each type of tree
Then number of rows of apple tree * Apple Trees in Each row = 576
=> x * x = 576
=> x² = 576
=> x = 24
Hence the number of rows of apple tree = 24
Case 2 :
each row contains as many trees as the number of rows.
This is done for all trees together
Total Trees = 576 + 1024 = 1600
Number of trees in each row = √1600 = 40
number of rows of apple tree = 576/40 = 14.4
Hence the number of rows of apple tree 14.4 or 15 (one is not complete)
From the given options case 1 has correct option c) 24
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