what is the smallest integer that gives rest to :

19 when you divide by 20

20 when you divide by 21

34 when you divide by 35
plzzzzzzzzz help

Verified Answer :

so when you divide x by 19 you get 20 or x/20=19
when you divide x by 21 you get 20 or x/21=20
when you divide x by 35 you get 34 or x/35=34

so x/20=19
x/21=20
x/35=34

solve
x/20=19
 mutiply both sides by 20
x times 20/20=19 times 20
x=380


x/21=20
multiply both sides by 21
x times 21/21=20 times 21
x=420

these sentences do not work together statement
there is no solution