System of equations - practice problems - page 2 of 103
Number of problems found: 2050
- Monthly income
There are three working people - X, Y, Z. The average monthly income of X and Y is 5050 USD.The average monthly income of Y and Z is 6250 USD, and the average monthly income of X and Z is 5200 USD. What is monthly income of X?
- 5 years
5 years ago the age of a father was thrice the age of his son. In 5 years time, the age of the father will be twice the age of his son at that time. Find their present ages.
- Money exchange
A told B, "If you give me 1/3 of your money I'll be 50 USD". In turn B told A, " If you give me 9 USD then we'll be the same amount of money". Find their money.
- Work in factory
45 men can complete a work in 16 days, but after some days they started working 30 more men joined them and completed the remaining work in 6 days. How many days after the commencement of the job did 30 men join?
- Palidrom
A number consists of two digits whose product is 24. When 18 is subtracted from the number, the digits change their places. Find the number.
- Reciprocals - sum
The sum of the two numbers is 15. If the sum of their reciprocals is 5/18, find the numbers.
- Twins 2
The average age of a man and his two twin sons is 30 years. The ratio of the ages of father and one son is 5 : 2, what is the father's age?
- At present
At present, Ram is eight years younger than Susan, and Hari is two years younger. If the respective ratio between the present age of Ram and that of Hari is 3: 4, then what is Hari's present age?
- Sum of squares
If the first number is 80% of the second number and 4 times the sum of their squares is 656, find the numbers.
- System of equations
Solve the following system of equations: 2x-5y=4 5x-3y=4
- Equation of a line
Find the equation of a line that passes through (1, 3) and is parallel to the line y = - 2x + 4.
- By increasing
By increasing the speed of his car by 15 km/h, a person covers a 300 km distance in an hour less than before. What was the original speed?
- Two men
Two men earn in the ratio 5 : 3 and expend in the ratio 9: 5. If each saves 30000 USD every year, find their income.
- The Product 16
The Product of two numbers is 96, and their quotient is 6. Find the numbers.
- A box of paisa
A box cointains 261 coins valued 20 paisa, 25 paisa and 50 paisa. Their values in ruppies are in the ratio of 7:8:10. Find the number of 25 paisa coins. One Rupee 100 Paise or we can also write it like 100 Paise 1 Rupee.
- A train 4
A train passes two bridges of 400 m and 260 m in 25 sec and 18 sec, respectively. Find the length and speed of the train.
- A boat 4
A boat travels 25 km upstream in 5 hours and 25 km downstream in 2.5 hours. If the boat increased its speed by 3 km/h, it would take 1 hour less to travel the downstream distance. Find the speed of the stream.
- A boat 3
A boat takes 1 hour longer to go 36 km up a river than to return. If the river flows at 3 km/h, find the rate at which the boat travels in still water.
- Of three
Of three positive numbers the product of the first and second is 42, second and third is 56 and that of third and first is 48. Find the third number.
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