Equation - examples

On line
On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0].
The third
The one-third rod is blue, one-half of the rod is red, the rest of the rod is white and measures 8 cm. How long is the whole rod?
MO Z8-I-1 2018
Fero and David meet daily in the elevator. One morning they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Fero and David.
Powers 3
2 to the power of n divided by 4 to the power of -3 equal 4. What is the vaule of n?
Drying herbs
Herbs lose 75% weight By drying. How many fresh herbs do you have to collect if you want to make 1.5 kg of dried herbs?
Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find value of x
Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x;
Equation 20
In given equation: 8/9-4/5=2/9+x, find x
Clubhouse
There were only chairs and table in the clubhouse. Each chair had four legs, and the table was triple. Scouts came to the clubhouse. Everyone sat on their chair, two chairs were left unoccupied, and the number of legs in the room was 101. How many chairs w
Age
In 1960 my age was equal to the digits sum of the year of my birth. What is my age now?
Two bricks
One brick weighs 1kg and half a brick, how many weigh two bricks?
Two numbers 7
The sum of two consecutive even numbers is 30. Find the numbers.
AP RT triangle
The length of the sides of a right triangle form an arithmetic progression, longer leg is 24 cm long. What are the perimeter and area?
Father and son
Father and son weigh together 108kg. The father weighs 2.6 times more than his son. How much does weight my father and son count?
Five pupils
Five pupils clean 30 chairs one hour before four pupils. How many chairs clean one pupil in 1 hour?
There
There are 32 trees of three species in the orchard. 25% cherries, three eighty pears, others plums. How many plums are in the orchard?
The tourist
The tourist traveled 190km in 5 hours. Part of the journey passed at 5 km/h. The rest he went by bus at a speed of 60 km/h. How long has a bus gone?
The quotient
The quotient of g and 55 is the same as 279. What is g?
Two thirds
$fractions_10$ Find two-thirds of the number equal to two-thirds of 99
Two diggers
Two diggers should dig a ditch. If each of them worked just one-third of the time that the other digger needs, they'd dig up a 13/18 ditch together. Find the ratio of the performance of this two diggers.