Question

there are some apples and oranges in a basket.4 times the number of apples is that of the oranges.12 apples and 26 oranges more added to the basket and now the number of oranges is double the number of apples.how many apples and oranges were there in the basket at first?​

Answer 1

Explanation:

Given: --> 2O + 1 > A.

Question:

(1) The total number of oranges and apples after the addition was 25:

(O + 4) + (A + 7) = 25;

O + A = 14.

We could have many values of O and A (satisfying both O + A = 14 and 2O + 1 > A). For example, O = 13 and A = 1 OR O = 12 and A = 2.

Not sufficient.

(2) The product of the initial number of apples and oranges is 33:

O*A = 33. Since both O and A are integers, then there exist only two sets of O and A, which satisfy both O*A = 33 and 2O + 1 > A.

O = 33 and A = 1;

O = 11 and A = 3.

Not sufficient.

(1)+(2) From (2) only O = 11 and A = 3 satisfy O + A = 14 from (1). Sufficient.