How much time would each require if they worked alone? The two working together can complete the job in 1.2 hours.
The 7 minutes to drain will be subtracted.ġ7.5 min or 17 min 30 sec is the solution Questionsįor Questions 1 to 8, write the formula defining the relation. If both the pipe and the drain are open, how long will it take to fill the sink?
#SIMULTANEOUS EQUATIONS WORD PROBLEMS WORKSHEET WITH ANSWERS FULL#
Therefore, the father’s age is 36 years 4 months, the son’s age is 6 years 7 months.A sink can be filled by a pipe in 5 minutes, but it takes 7 minutes to drain a full sink. Subtract 2x + 8y = 128 from equation (ii) Let the father’s age be x years, the son’s age be y years. But if twice the age of the father is added to the age of the son, the sum is 82. If four times the age of the son is added to the age of the father, the sum is 64. Multiply the equation (i) by 2, equation (ii) by 3. If the numerator of a certain fraction is increased by 2 and the denominator by 1, the fraction becomes equal to ⅗ and if the numerator and denominator are each diminished by 1, the fraction becomes equal to ⅔, find the fraction. So, the required two digit number is 144/5. Subtract equation (v) from equation (iii) The number formed by reversing the digits 18 less than the given number. In the two digit number xy, x is in the tens position and y is in ones position. Given that, the two digit number is eight times the sum of its digits. The number formed by reversing the digits is 18 less than the given number. 70 per Kg.Ī two-digit number is eight times the sum of its digits. 85 per kg and 32 kg 400 grams which cost Rs. Hence, the sweets purchased 1 kg 600 grams which cost Rs. Subtracting equation (iii) from equation (ii), we get
Multiplying the equation (i) by 70, we get 70 per kg and sweets purchased y kg which cost Rs. Let the quantity of sweets purchased be x kg which cost Rs. 2500, find how much sweets of each kind they purchased? If the total money spent on sweets was Rs. They estimated that 34 kg of sweets were needed. They decided to purchase two kinds of sweets, one costing Rs. The class IX students of a certain public school wanted to give a farewell party to the outgoing students of class X. Substituting the value of x in equation (i) The larger number is doubled and the smaller number is tripled, the difference is 25. If the larger is doubled and the smaller is tripled, the difference is 25. The sum of two numbers is 25 and their difference is 5. Given that, one number is greater than thrice the other number by 6.Ĥ times the smaller number exceeds the greater by 7.
If 4 times the smaller number exceeds the greater by 7, find the numbers? One number is greater than thrice the other number by 6. We have also provided simultaneous equations problems with solutions that help you to grasp the concept. And follow the methods to solve the formed system of linear equations to get the values of unknown quantities. Assume the unknown quantities in the question as x, y variables and represent them in the form of a linear equation according to the condition mentioned in the question. We have already learned some steps and methods to solve the simultaneous linear equations in two variables. So, you can solve different word problems with the help of linear equations.
Here those simultaneous linear equations are in the form of word problems. By solving the system of linear equations in two variables, you will get an ordered pair having x coordinate and y coordinate values (x, y) that satisfies both equations.