Show your solution.
1. In 7 years the ratio of Ana’s age to her niece will be 3:2. If the difference of their ages 15, how old are they now?

2. The length of a rectangle is 6 cm. greater than its width. If the width is 2 cm less and its length is 3 cm. greater, the area would be the same as before. Find the dimensions of the rectangle.

3. The area of a triangle is 102 cm 2 . Determine the base and the altitude of the triangle if the altitude exceeds the base by 5 cm.

4. If two opposite sides of a square are increased by 8m. and the other 2 sides are decreased by 4m. the area of the rectangle formed is 133 m 2 . Find the area of the original square.

5. In order to win the grand prize, Benny has to crack the secret code . Given the clues, help Ben to crack the code: 8 3 _ _ 6 5. (a) The third digit is greater than the second digit. (b) The difference between the third and the fourth digit is 3. (c) When the sum of all numbers is divided by 5, it has a remainder of 3. (d) When the sum of all numbers is divided by 6, it has a remainder of 3.

6. A college student sent a postcard to her parents with the message SEND + MORE MONEY If each letter represents a digit 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9, with different letters representing different digits and the same letter representing the same digit each time it occurs, how much money is being requested? ( SEND for the school tuition and MORE for other expenses​