a person had a number of toys to distribute among children at first he gave 2 toys to - Maths - Introduction to Trigonometry

Question

a person had a number of toys to distribute among children at
first he gave 2 toys to each child , then 4 , then 5 ,and then 6 ,
but was always left with one but if he had given 7 toys to each
child , no toys would have been left with him what is the smallest
number of toys that he had?

Shivam Mishra · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

Language of question is incomplete
 It should mention that some children arenot getting any toys
L C M
 of 2,4,5,6=60Now we want least multiple of 60 such that multiple of 60+1 is a multiple ofMultiples of 60 are60,120,180,240,300,360,
61, 121, 181, 241 are not the multiple of 7 but 301 is 3017=43Hence smallest number of toys he had is 301

Hope this information will clear your doubts about this topic

If you have any doubts just ask here on the ask and answer forum
and our experts will try to help you out as soon as possible
Regards

a person had a number of toys to distribute among children . at first he gave 2 toys to each child , then 4 , then 5 ,and then 6 , but was always left with one . but if he had given 7 toys to each child , no toys would have been left with him . what is the smallest number of toys that he had?