Times to Add Calculator

Welcome to the Times to Add Calculator, which is used to calculate how many times a given number can be added from another so that equal to the sum. For example, How many times add 5 to 100 so that the sum is 150?

How many times add a to b so that the sum is c?

Eg, How many times add 5 to 100 so that the sum is 150? Enter 5 in the first input box, enter 100 in the second input box and enter 150 in the third input box, then click Calculate button.

Calculate Reset

How to calculate how many times can be added?

Three methods: addition method, division method and arithmetic sequence method.

Addition Method

Increase sequentially until the sum is reached.

As in the example above

100 + 5 = 105

105 + 5 = 110

110 + 5 = 115

115 + 5 = 120

120 + 5= 125

125 + 5 = 130

130 + 5 = 135

135 + 5 = 140

140 + 5 = 145

145 + 5 = 150

It can be easily calculated that the answer is 10 times. This method is simple but has a fatal flaw. If the number is large, multiple calculations are required.

Division Method

First, calculate the difference between the starting and ending numbers.

Second, divide the difference by the addend to calculate the times.

For example, how many times add 5 to 100 so that the sum is 150?

The starting number is 100, the ending number is 150, and the difference between them is 150 – 100 = 50.

Divide 50 by 5 to calculate the times.

505 = 10

So, there are 10 times you have to add 5 to 100 for a total of 150.

Arithmetic Sequence Method

Still the above example: how many times add 5 to 100 so that the sum is 150?

According to the definition of an arithmetic sequence, the first item of the sequence is 100, the common difference is 5, and the last item is greater than or equal to 150.

The formula for the Nth term of the arithmetic sequence

The formula for the Nth term of the arithmetic sequence Among them, a₁ = 100, d = 5, a_n = 150. Substitute them into the formula to calculate the value of n.

150 = 100 + (n – 1) * 5

(n – 1) * 5 = 50

n – 1 = 10

n = 11

Why 11 instead of 10?

There is a detail to note here, the result only represents the number of items in the arithmetic sequence, not the number of additions.

The add times should be the number of terms minus 1, as expressed in the formula.

So, the answer is also 11 – 1 = 10.

Of course, if you hate manual calculations, it is recommended to use the Times to Add Calculator on the page directly, enter the number and you can get the answer immediately.

Next, we will introduce how to use the calculator.

How to use the calculator to calculate the times to add

Using the calculator is simple, follow these 4 steps:

1Enter the addend in the first input box.
2Enter the starting number in the second input box.
3Enter the sum in the third input box.
4Click Calculate button to get the answer, or click Reset button to start a new calculation.

Next, let’s look at some examples.

Solved examples using the times to add calculator

Example 1: How many times add 5 to 65 so that the sum is 80?

Enter 5 in the first input box.

Enter 65 in the second input box.

Enter 80 in the third input box.

Then click Calculate button, as shown in the figure, the answer is 3 times.

80 – 655 = 155 = 3

How many times add 5 to 65 so that the sum is 80?

Example 2: How many times add 15 to 820 so that the sum is 1000?

Enter 15 in the first input box.

Enter 820 in the second input box.

Enter 1000 in the third input box.

Then click Calculate button, as shown in the figure, the answer is 12 times.

1000 – 82015 = 18015 = 12

Times to Add Calculator - How Many Times Need to Add