# Sumafruits

Replace each fruit with a one-digit number to ensure that the vertical and horizontal sums are as indicated. Of course, each fruit always has the same value and different fruits have different values.

How much is each fruit worth?

#### Solution

We see that the three pears added give 15. That means that the pear is worth 5. Two apples and a pear add 7, so each apple must be worth 1.

There are no more rows or columns that give us so much information. Now, we can start working with hypotheses. The lemon plus the apple plus the cherries add up to 6, that is, the lemon plus the cherries add up to five. That means that cherries can be worth 1, 2, 3 or 4. However, when you add cherries to pear and strawberries, it adds up to 17, that is, cherries plus strawberries add up to 12. Notice that each fruit can only be a number of a figure, so cherries cannot be worth 1 or 2, since strawberries should be worth more than 9. So cherries can only be worth 3 or 4, and strawberries 9 or 8.

In short, yes cherries are worth 3, lemon is worth 2, strawberries 9 and pear 5 and apple 1.