Number Puzzles

Mrs Smith had a box of sweets.  She counted them and told her class that there were 370 sweets to the nearest 10.

She also told them that the number of sweets could be shared equally between 4 people and also between 3 people.

How many sweets were in the bag?

Answer

Which number is 10 more than 100 less than 20 more than 70 less than 40 more than 155?

Answer

 A market researcher knocked on the door of a house and asked the owner if he could interview her for a survey.  The owner agreed, but she didn't really want to be interviewed, so she decided to make it difficult for him to understand her answers!

"Do you have any children?" the market researcher asked.  "Yes," replied the house owner, "I have three." 

"Please can you tell me how old they are?" asked the market researcher. "Well, when you multiply their ages together you get 36, but when you add their ages together you get the number on that house over there with the blue door," the house owner told him.

The market researcher thought about this for a minute before saying "You haven't given me enough information!"  The house owner smiled, "my eldest plays on the school football team you know."  "Thank you," said the researcher, "now I know how old they are."

How old are the three children?

Hint                         Answer

The sum of each two adjacent squares gives the number above.  Can you fill in the blank squares with the correct numbers?

Answer