Linear Equation
Solve for “a”
i)
ii)
iii)
iv)
v) – –
vi)
Word Problems
1. The sum of number and 3 times itself is 88. What is the number.
2. Six times a number plus 19 gives 109. Find the numbers.
3. The difference of two numbers is 7 and their sum is 53. Find the numbers.
4. Find three consecutive numbers whose sum is 72.
5. The length of rectangle exceeds the width by 14 cm. The perimeter of the
rectangle is 160 cm. Find the length and width of the rectangle.
6. Divide 16 into 2 parts such that one part is 3 times the other.
7. Dinesh buys a flat and pays part of it by cheque, part of it by cash and promises
to pay the remaining 4 lakh later. What is the cost of flat?
8. Bhoomi’s mother is nine times as old as she is now. After years Bhoomi’s
mother will be 5 times as old as Bhoomi will be then. What are their present ages.
9. A father is 4 times as old as his son now. If 5 years later the father’s age will be
times of his son’s age, what are their ages now?
10. Ram is 30 years old and his son is 5 years old. In how many years Ram will be
twice as old as his son?
11. A factory distributed its profit of Rs. 50000 among his workers. There were x
workers in post A who got 3000 each and 2 workers in post B who got Rs. 2000
each and 3x workers in post C, who got Rs. 1000 each. How many workers were
there in each post?
12. The cost of Science book is 5 times the cost of an English book. If man purchases 5
English books and 3 Science books and pays Rs 300 to the shopkeeper find the
cost of an English book and Science Book.
Solve for “a”
i)
ii)
iii)
iv)
v) – –
vi)
Word Problems
1. The sum of number and 3 times itself is 88. What is the number.
2. Six times a number plus 19 gives 109. Find the numbers.
3. The difference of two numbers is 7 and their sum is 53. Find the numbers.
4. Find three consecutive numbers whose sum is 72.
5. The length of rectangle exceeds the width by 14 cm. The perimeter of the
rectangle is 160 cm. Find the length and width of the rectangle.
6. Divide 16 into 2 parts such that one part is 3 times the other.
7. Dinesh buys a flat and pays part of it by cheque, part of it by cash and promises
to pay the remaining 4 lakh later. What is the cost of flat?
8. Bhoomi’s mother is nine times as old as she is now. After years Bhoomi’s
mother will be 5 times as old as Bhoomi will be then. What are their present ages.
9. A father is 4 times as old as his son now. If 5 years later the father’s age will be
times of his son’s age, what are their ages now?
10. Ram is 30 years old and his son is 5 years old. In how many years Ram will be
twice as old as his son?
11. A factory distributed its profit of Rs. 50000 among his workers. There were x
workers in post A who got 3000 each and 2 workers in post B who got Rs. 2000
each and 3x workers in post C, who got Rs. 1000 each. How many workers were
there in each post?
12. The cost of Science book is 5 times the cost of an English book. If man purchases 5
English books and 3 Science books and pays Rs 300 to the shopkeeper find the
cost of an English book and Science Book.
