Word problems ( Algebra simple equations)

For solving word problems,first write the expression/equation for the problem.

Example : A number plus 24 is fifty-four. What is the number?
Let the number be x,
X + 24 = 54 is the equation.
X + 24 – 24 = 54 – 24 ( subtracting 24 from both sides)
X = 30
The number is 30.

Practice :
A number plus 35 is seventy four. What is the number?
A number minus 12 is fifty six. What is the number?
A number plus 18 is thirty two. What is the number?
A number minus 25 is sixty eight. What is the number?

Example : Two-sixths of a number equals 44. What is the number?
Let the number be x
2 * x = 44 is the equation
-
6
6/2 * 2/6 * x = 6/2 * 44 (multiplying both sides by 6/2, left side 6/2 and 2/6 gets cancelled)
X = 132 ,The number is 132

Practice :
One -fifths of a number equals 13. What is the number?
Two-thirds of a number equals 62. What is the number?
Three forth of a number equals 36. What is the number?

Example : Twenty-three more than 4 times a number is 71. What is the number?
Let the number be x
23 + 4 x = 71 is the equation.
23 – 23 + 4x = 71 – 23 ( subtracting 23 from both sides)
4x = 48
4x / 4 = 48 / 4
X = 12 ,The number is 12

Practice :
Ten times a number, increased by eighty-three, equals two hundred twenty-three. What is the number?
One hundred fifty-three less than a number is seventy-seven. What is the number?
Three times a number, decreased by 23, equals 34. What is the number?
one-third of a number, decreased by 1 is 8. What is the number?
Two-thirds of a number equals 464. What is the number?
If a number is increased by 6, the result is 76. What is the number?
Negative six times a number is negative one hundred ninety-eight.
What is the number?