When it comes to solving math problems step by step, the steps are as important as the final answer. While it may be possible to make a wild guess at the answer, there is really no way to make up the steps. Learning the steps ensures that you get the right answer always. Use online math help to learn to solve your math problem for free step-by-step. Online math help is a sure shot way to get in touch with math experts who teach, assess and solve math problems, over the internet. Solve your math problems step by step with individual tutors who explain things the way you understand.

## Solve Math Problems Step by Step

## Solved Examples

**Question 1:**Find four consecutive integers whose sum is 226.

**Solution:**

Let us consider four consecutive integers

First Integer = x

Second Integer = x + 1

Third Integer = x + 2

Fourth Integer = x + 3

Sum of four consecutive integers = 226

=> x + (x + 1) + (x + 2) + ( x + 3) = 226

=> x + x + 1 + x + 2 + x + 3 = 226

=> 4x + 6 = 226

Subtract 6 from both sides

=> 4x + 6 - 6 = 226 - 6

=> 4x = 220

Divide each side by 4

=> x = $\frac{220}{4}$

=> x = 55, first number

Second Integer = x + 1 = 55 + 1 = 56

Third Integer = x + 2 = 55 + 2 = 57

Fourth Integer = x + 3 = 55 + 3 = 58

Hence, three consecutive integers are, 55, 56, 57, 58.

First Integer = x

Second Integer = x + 1

Third Integer = x + 2

Fourth Integer = x + 3

Step 1:Step 1:

Sum of four consecutive integers = 226

=> x + (x + 1) + (x + 2) + ( x + 3) = 226

=> x + x + 1 + x + 2 + x + 3 = 226

=> 4x + 6 = 226

Subtract 6 from both sides

=> 4x + 6 - 6 = 226 - 6

=> 4x = 220

Divide each side by 4

=> x = $\frac{220}{4}$

=> x = 55, first number

Step 2:Step 2:

Second Integer = x + 1 = 55 + 1 = 56

Third Integer = x + 2 = 55 + 2 = 57

Fourth Integer = x + 3 = 55 + 3 = 58

Hence, three consecutive integers are, 55, 56, 57, 58.

**Question 2:**Divide 500 dollars between Stefy, Amera, Jacson so that Stefy has 50 dollars more than Jacson and Amera has 45 more than Jacson.

**Solution:**

**Step 1:**

Let Jacson has dollars = x

Therefore Stefy has dollars = 50 + x

and Amren has dollars = 45 + x

Total amount = 500 dollars

Step 2:

Step 2:

Divide 500 dollars between Stefy, Amera, Jacson

=> x + (50 + x) + (45 + x) = 500

=> x + 50 + x + 45 + x = 500

=> 3x + 95 = 500

=> 3x = 500 - 95

=> 3x = 405

Divide each side by 3

=> x = $\frac{405}{3}$

=> x = 135

Step 3:

Step 3:

Jacson has = 135 dollars.

Stefy has = 50 + x = 50 + 135 = 185 dollars

and Amren has = 45 + x = 45 + 135 = 180 dollars.

Hence, Stefy, Amera, Jacson has 185 dolars, 180 dollars and 135 dollars respectively.

**Question 3:**The sum of two numbers is 90 and their ratio is 2:3. Find the numbers.

**Solution:**

**Step 1:**

Let the number be x

Second number = 90 - x (because the sum of two numbers is 90)

**Step 2:**

According to the problem:

Ratio of two numbers = $\frac{2}{3}$

=> $\frac{x}{90 - x} = \frac{2}{3}$

=> 3x = 2(90 - x)

=> 3x = 180 - 2x

=> 3x + 2x = 180

=> 5x = 180

Divide each side by 5

=> $\frac{5x}{5} = \frac{180}{5}$

=> x = 36

Hence the number be 36. answer