Question

a garndener wants to plant tress in a garden if the number of trees in each row in the same and there are 35 or 14 or 21 rows then no tree is left find the least number of tree the plants has​

Answer 1

Answer:Solution :-

L.C.M. of 6, 8, 10 and 12

6 = 2*3

8 = 2*2*2

10 = 2*5

12 = 2*2*3

L.C.M. of 6, 8, 10 and 12 = 2*2*2*3*5 = 120

When equal number of trees are planted in rows of 6, 8, 10 or 12, five trees are left unplanted.

Hence, number of trees will be (120x + 5), which must be divided by 13 as per the given condition in the question.

By hit and trial method =

(120x + 5)/13 will be satisfied for x = 7

(120*7) + 5

So, total number of trees = 840 + 5 = 845

845 is exactly divisible by 13.

Step-by-step explanation: