System of equations - practice problems - page 2 of 103
Number of problems found: 2041
- 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.
- Split 207
Split number 207 into three parts such that these are in the arithmetic progression (AP) and the product of two smaller parts is 4623. - Numerators and denominators 2
A fraction becomes 2 when 1 is added to both the numerator and denominator and it becomes 3 when 1 is subtracted from both numerator and denominator. Find the difference of numerator and denominator. - Three workers
Three people - A, B, C . A and B can do a piece of work in 18 days, B and C can do it in 24 days, A and C can do it in 36 days.In how many days B alone can finish the work?
- Stocks and bonds
Mr. Cash invested $80000 in various stocks and bonds. He earned a 7% dividend on his stocks and 5% interest on his bonds, for a one year profit (both stocks and bonds) of $4,900. How much did Mr. cash invest in bonds? - Work men and women
Two men and 1 woman can do a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man get 90 euros/day, what should be the wages/day of a woman? - Two workers 10 Worker P can do a work 3 times faster than Q and therefore takes 40 days less than Q.Find the time in which P and Q can complete the work individually.
- Solve 28
Solve the following system of linear equations: x + 2y - z = -1 3x + 8y+ 2z = 28 4x + 9y + z =14 - My grandfather My grandfather was 8 times older to me 16 years ago. He would be 3 times of my age 8 years from now. What was the ratio of our ages 8 years ago?
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