Find the Unknown
Simplifying
Word Problems
Simultaneous Equations
Sum/Difference
100

3t-6=3

3
100

2a - 4b +3ab -5a +2b

-3a - 2b + 3ab

100

Ahmed’s father’s age is 5 years more than three times Ahmed’s age. Find Ahmed’s age if his father is 44 years old.

13

100
  • x + y = 8
  • x - y = 6

x = 7 and y = 1

100

The sum of two numbers is 50 and their difference is 22. Find the numbers.

36, 14

200

-2(v − 7) = -18

16

200

4(2x+1) - 3x

5x + 4

200

The length of a rectangle is 4 cm more than its width. If its perimeter is 48 cm, find the length and width.

Length= 14, width = 10

200
  • 2x - y = 15
  •  x + y = 24

x = 13 and y = 11

200

One number is three times the other number. The difference between the two numbers is 12. Find the two numbers.

18, 6

300

-5a − -12a + -11 = 17

4

300

4(p - 5) +3(p +1)

7p - 17

300

When you multiply a number by 6 and subtract 5 from the product, you get 7. Find the number.

2

300
  • x + y = 5
  • x = 14 + 2y

x = 8 and y = - 3

300

The sum of two numbers is 9. The difference in their squares is also 9. Find the number.

5, 4

400

(h − 20) / -4 = 0

20

400

6(p +3q) - (7 +4q)

6p + 14q - 7

400

Three times a number increased by 8 is same as twice the number increased by 15. Find the number.

7

400
  • x + 4y = 5
  • 3x - y = -24

x = -7 and y = 3

400

The difference between the two numbers is 7. Two times the smaller number added to the larger number gives 22. Find the two numbers.

12, 5

500

2(4p-3)=2(3p-5)

-2

500

4rs -2s - 3(rs +1) - 2s

rs - 4s - 3

500

A man is 26 years older than his son. After 10 years he will be 3 times as old as his son. Find their present ages

Man =29, Son = 3

500
  • 5x + 2y = 18
  • 3x - y = 2

x = 2 and y = 4

500

In the triangle, sum of two angles is 90°. The difference of these 2 angles are 10°, find the measure of these two unknown angles.

50°, 40°

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