Miscellaneous
3 = 3(t − 7)
8
2a - 4b +3ab -5a +2b
-3a - 2b + 3ab
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
x = 7 and y = 1
The sum of two numbers is 50 and their difference is 22. Find the numbers.
36, 14
-18 = -2(v − 7)
16
4(2x+1) - 3x
5x + 4
The length of a rectangle is 4 cm more than its breadth. If its perimeter is 48 cm, find the length and breadth.
Length= 14, breadth = 10
x = 40/3 and y = 32/3
One number is three times the other number. The difference between the two numbers is 12. Find the two numbers.
18, 6
-5a − (-12a) + (-11) = 17
4
4(p - 5) +3(p +1)
7p - 17
When you multiply a number by 6 and subtract 5 from the product, you get 7. Find the number.
2
x = 26/3 and y = - 8/3
The sum of two numbers is 9. The difference in their squares is also 9. Find the number.
5, 4
h − 20/(-4) = 0
20
6(p +3q) - (7 +4q)
6p + 14q - 7
Three times a number increased by 8 is same as twice the number increased by 15. Find the number.
7
x = - 84/13 and y = 60/13
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
-2(h + 5) = -14
2
4rs -2s - 3(rs +1) - 2s
rs - 4s - 3
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
x = 2 and y = 4
In the triangle, sum of two angles is 90° which is the measure of the third angle. Also, the difference of these 2 angles are 10°, find the measure of these two unknown angles.
50°, 40°