Question : A forester wants to plant 66 apple trees, 88 banana trees and 110 mangoes trees in equal rows. Also he wants to make distinct rows of trees. Find the number of minimum rows required.
Doubt by Mehak
Solution :
No. of apple trees = 66
No. of banana trees = 88
No. of mango trees = 110
Now, No. of trees in each row will be given by the HCF of 66, 88 & 110.
66 = 2×3×11
88 = 2^3×11
110=2×5×11
HCF (66,88,110) = 2×11 = 22
No. of rows required
= Total Number of trees / No. of trees in each row
= (66+88+110)/22
= 264/22
= 12
Hence, required numbers of minimum rows are 12.