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Penyelesaian - Word Problem

One number is 11
11
The second number is 9
9

Other Ways to Solve

Word Problem

Penjelasan langkah demi langkah

1. Rewrite the information given in the problem as equations

2 sentences contain the information we are after.

The first, [The difference between the 2 numbers is 2], we learn that:

There are 2 numbers we are looking for, as we don't know what they are, we will refer to them as x and y.

The difference of x and y is 2. This can be mathematically expressed as xy=2

From the following sentence, [the product of the 2 numbers is 99], we further learn that the product of x and y equals 99.

This information, can then be expressed in another equation, which would be xy=99

We now have a system of equations:

xy=2
xy=99

2. Find the numbers by solving the system of equations

To solve this system of equations, we first solve for the first variable in the first equation and then substitute the result into the second equation.

Solving this set of equation yields the solution set

x=11
y=9

Therefore, the 2 numbers we’ve been asked to find are 11 and 9

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