in Haritha haram,108,84 and 60 saplings of mango guava and sapota are supplied .find the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted​

Respuesta :

Answer: 21

Step-by-step explanation:

Given: Number of mango guava and sapota are supplied 108,84 and 60 respectively.

Since, 108 = 2 x 2 x 3 x 3 x 3

84 =  2 x 2 x 3 x 7

60 = 2 x 2 x 3 x 5

HCF(108,84,60) = 2 x 2 x 3 [HCF=Highest common factors]

= 12

Greatest number of plants in each row = 12

Number of rows for mango = [tex]\dfrac{108}{12}=9[/tex]

Number of rows for guava = [tex]\dfrac{84}{12}=7[/tex]

Number of rows for sapota = [tex]\dfrac{60}{12}=5[/tex]

Total rows = 9+7+5= 21

Hence, the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted​ = 21

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