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Age Problems
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Mixed Bag
100

The solution to 4x - 3 = 21

What is x = 6?

100

Filip is x years old. Jerry is three times older than Filip. Jerry is 28 years older than Filip.  These are the ages of Filip and Jerry.

What are 14 and 42? 

100

Sandro buys a pair of jeans for 320kr. They had a 20% discount.  This was their original price.

What is 800kr?

100

Train A heads north at an average speed of 95 miles per hour, leaving its station at the precise moment as another train, Train B, departs a different station, heading south at an average speed of 110 miles per hour. If these trains are inadvertently placed on the same track and start exactly 1,300 miles apart, they will collide in approximately this many hours.

What is 6 hours?

100

A number divided by 7 then subtracted by 5 has the result of 4. This is the number.

What is 63?

200

The solution to the equation 6x + 1 = 4x + 5

What is x = 3?

200

Joseph is y years old. Arthur is four times as old as Joseph. If Arthur is 27 years older than Joseph, these are the ages of Arthur and Joseph.

What are 9 and 36?

200

40% of the marbles in a bag are cat-eyes.  There are 12 cat-eye marbles.  This is the total number of marbles in the bag.

What is 30 marbles?

200

Dave rode his bike from home to an OKQ8 at an average speed of 20 km/hr, and the trip took 15 minutes. However, as he pulled up to the store, he rode over some glass, causing both tires to go flat. Because of this rotten luck, he had to push his bike back home at an average speed of 3 km/hr. This is his total travel time.

What is 1 hour 55 minutes?
200

Using the equation s = ut + ½ at2, this is the initial velocity u m/s if the distance s is 3km, t is 50s and a = 2m/s2.

What is 10 m/s?

300

The y value that makes this equation true 2(y - 1) = 4(y - 3)

What is y = 5?

300

Carmen is 12 years older than David. Five years ago, the sum of their ages was 28. These are their ages now.

What are 13 and 25?

300

Sally spent 3/5 of her salary on a television. She also bought a subscription to Netflix for 109 kr.  The total for the two was 1609 kr.  This is her salary.

What is 2500 kr?

300

This is the combined length of two trains going in the same directions when it takes 40 seconds for the faster one to completely overtake the slower one.  The faster one is going 80 km/hr and the slower has a speed of 44 km/hr.

What is 400 m?

300

The four angles of a trapezoid are x, 2x, (3x - 67) and (2x + 27).  These are the four angles.

What are 50 degrees, 100 degrees, 83 degrees, and 127 degrees?

400

The solution to (7z + 2) - (3z - 5) = 15

What is z = 2?

400

Louise is 26 years old. Her daughter Carmen is 4 years old. In this many years Louise will be double her daughter’s age.

What is 18 years?

400

A phone case was put on sale at 25% off the original price. After one week the price was decreased an additional 48 kr. The sale price of the phone case is 132 kr. This is the jackets original price.

What is 240 kr?

400

Two faucets, hot and cold, fill a tub.  The hot can fill the whole tub by itself in 6 hours.  The cold can fill it in 9 hours.  You have both faucets on until the tub is ⅓ filled.  The hot water stops and the cold fills the rest of the tub by itself.  This is the total time to fill the bathtub.

What is 7 hours and 12 minutes?

400

28 less than five times a certain number is 232. This is the number.

What is 52?

500

The value of x that makes this equation true: 5(x + 1) = 19 + 3x

What is x = 7?

500

The sum of Clyde and Wendy’s ages is 64. In four years, Wendy will be three times as old as Clyde.  These are their present ages.

What are 50 and 14?

500

Sandra saves  15%  of her salary for retirement.  This year her salary was  $1 000  more than in the previous year, and she saved  $7 350.  This was her salary the previous year.

What was  $48 000?

500

Lena keeps 3 greedy pigs. Markus can eat a wheelbarrow of food in 20 minutes, Jennifer in 24 minutes and Sam in half an hour. This is the total time it will take them to eat 2 wheelbarrows of food.

What is 16 minutes?

500

Andy and his friend Sam were walking along the road together. Andy had a big bag of marbles.Unfortunately the bottom of the bag split and all the marbles spilled out. Poor Andy! One third of the marbles rolled down the slope too quickly for Andy to pick them up.One sixth of all the marbles disappeared into the rain-water drain. Andy and Sam picked up all they could but half of the marbles that remained nearby were picked up by other children who ran off with them. Andy counted all the marbles he and Sam had rescued.He gave one third of these to Sam for helping him pick them up. Andy put his remaining marbles into his pocket. There were 14 of them. This is how many marbles were in Andy's bag before the bottom split.

What was 84 marbles?

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