Question

A forester wants to plant 66 apple trees, 88 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also he wants to make distinct rows of trees (i.e., only one type of trees in one row). Find the number of minimum number of rows required.

Answer 1

Given,

Number of mango trees = 66

Number of orange trees = 88

Number of apple trees = 110

According to question,

We need to find the equal number of rows in which these trees can be planted

For this,

We firstly need to find the HCF of 66, 88, 110.

66 = 2 * 3 * 11

88 = 2 * 2 * 2 * 11

110 = 2 * 5 * 11

HCF = 2 * 11 = 22

Now,

The required numbers of rows,

= ( 66 / 22 ) + ( 88 / 22 ) + ( 110 / 22)

= 3 + 4 + 5

= 12

Hence,

Number of rows will be 12

Answer 2

$apple \: trees\: are = 66 \\ \\ banana \: trees \: are = 88 \\ \\ mango \: trees \: are = 110 \\ \\ apple \: = \: 11 \times 3 \times 2 = 66 \\ \\ banana = 11 \times 4 \times 2 = 88 \\ \\ mango = 2 \times 5 \times 11 = 110 \\ \\ = \: hcf = 11 \times 2 \\ = 22 \\ \\ = (66 \div 22)(88 \div 22)(110 \div 22) \\ \\ = \frac{66}{22} = 3 \\ \\ = \frac{88}{22} = 4 \\ \\ = \frac{110}{22} = 5 \\ \\ = 3 + 4 + 5 \\ = 12 \\ \\ = 12 \: is \: the \: minimum. \\ answer. \\ \\ i \\ \\ think \\ \\ it \\ \\ help \\ \\ you\\ \\ mark \\ \\ my \\ \\ answer \\ \\ inbox \\ \\ me \\ \\ xd.$