Question

A number when divided by 18 leaves a remainder 7. The same number when divided by 12 leaves a remainder n. How many values can n take?"

Answer 1

Answer:

1 and 7

Step-by-step explanation:

18a+7=12b+n

18a+7= 25,43,61,79

check remainder in all these cases it is following pattern of either 1 or 7

generalised method

18a+7=(12+6)a+7=12a+(6a+7)

so we can say no when divided by 12 gives remainder as 6a+7 i.e. 13,19,25 as remainder while dividing by 12 can't be greater than 12 hence 1,7.