Data Sufficiency

Teacher distributed apples to children with the same numbers, how many apples are there in total?

(1) Distributed equally to 7 children, 4 apples remain

(2) Distributed equally to 4 children, 3 apples remain

I'm getting E...both together not sufficient.

(1) implies total = 7(n1)+4 where n1 = # apples per student
(2) implies total = 4(n2)+3 where n2 = # apples per student

so, (1) and (2) are each insufficient on their own, since we know nothing about n.

From (1), the total could be 11, 18, 25, 32, 39, 46,...
From (2), the total could be 7, 11, 15, 19, 23, 27, 31, 35, 39,...

Since even in the list above, 11 and 39 both appear as possibilities to satisfy both statements, we know that both statements together are not sufficient.

IMO E

7x + 4 = 4Y + 3

implies 4Y-7X = 1 (i,e Y = 16,X =9)

So i Choose C

Any takes ?

ravi, if u plug y=9,x=5 . u ll get same value.so ur sol isnt unique...imo E.oa pls