# Algebra - examples

- Three numbers

We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers? - Average height

The average height of all pupils is 162 cm. The class teacher's height is 178 cm. The average height of all (teacher and all pupils) is 163 cm. Calculate the number of pupils in the class. - Dozen

What is the product of 26 and 5? Write the answer in Arabic numeral. Add up the digits. How many of this is in a dozen? Divide #114 by this - Completing square

Solve the quadratic equation: m^{2}=4m+20 using completing the square method - Balloon and bridge

From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at depth angle 30° 30 '. Calculate the length of the bridge. - The smallest number

What is the smallest number that can be divided by both 5 and 7 - Find the sum

Find the sum of all natural numbers from 1 and 100, which are divisible by 2 or 5 - The size

The size of a Trapezium are 3/4×cm, ×cm 2(×+1)cm and 3(×+2)cm long respectively if it's perimeter is 60cm, calculate the length of each side. - The painter

In order for the painter to get the desired color, he must mix green and yellow in a ratio of 4: 7. If it has 28 l of green color, how many liters of yellow color should he add? How many liters of mixed color does he get? - Construction of road

For the construction of the road dam, it is supposed to transport six trucks a total of 18 days. After three days, two more cars were sent to the construction site. How long will it take to carry the material? - Greg and Bill

Greg is 18 years old. He is 6 less than 4 times Bill's age. How old is Bill? - Sum of dividend

If X is divided separately 2.63 and 1.40. And the results of the individual divisions are added to give a result less than X. What is X? - Peter and Paul

Peter and Paul together have 26 years. Four years ago, Paul was twice older than Peter. How much is Paul and how much Peter? - Find the 7

Find the number that is smaller than 5 5/12 by as much as 2 2/13 is smaller than 6 1/6 - Mushrooms

Mushrooms lose 90% by weight drying. How many fresh mushrooms are needed for 5 kg of dried mushrooms? - A large

A large gear will be used to turn a smaller gear. The large gear will make 75 revolutions per minute. The smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM. ] - Calculate 3

Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Car and motorcyclist

A car and a motorcyclist rode against each other from a distance of 190 km. The car drove 10km/h higher than the motorcyclist and started half an hour later. It met a motorcyclist in an hour and thirty minutes. Determine their speeds. - Simplify

Simplify expression - which expression is equivalent to: 3(m + 2) − 4(2m − 9) - Isosceles triangle

In an isosceles triangle, the length of the arm and the length of the base are in ration 3 to 5. What is the length of the arm?

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