Solve
Repeated Variable
Word Problems
Miscellaneous
100

7x - 3 = 18

x = 3

100

2x + x = 18

x = 6

100

The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

x + 9 

= 8 + 9 

= 17

100

If a and b are positive integers, then the solution of the equation ax = b will always be a
(a) positive number
(b) negative number
(c) 1
(d) 0

Positive Number 

200

x/-2 = -4

x = 8

200

3x - 4 + 5x = 0

x = 1/2

200

A man being asked how much he gave for his watch, replied; If you multiply the price by 4, and to the product add 70, and from this sum subtract 50, the remainder will be equal to 220 dollars.

x = 50


200

If k + 7 = 10, find the value of 9k – 50.

-23

300

2(-x + 1) = -1

x = 1.5 

300

x+x+50+x-20 = 180

x=50

300

The length of a rectangle is twice its breadth. If the perimeter is 72 metre, find the length and breadth of the rectangle.

length of the rectangle = 2x

= 2 × 12 = 24


300

If one-third of a number exceeds its one-fourth by 1, find the number.

12

400

1-3x/2 = 5

x= -3

400

2x-3 = x+2

x = 5

400

Alisha is 5 years younger than Ayesha. Four years later, Ayesha will be twice as old as Alisha. Find their present ages.

Aaron’s present age = x - 5 

= 6 - 5 

= 1


400

Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of each side of the triangle.

 the third side of the triangle = 6 cm
and other two equal sides are 2 × 6 = 12 cm each

500

-5 (2x - 4)/3 = 30

x = -7

500

5x + 1 = 15- 2x

x = 2

500

The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?

84 and 36


500

The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle.

breadth = 10 cm
and the length = 10 × 2 = 20 cm

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