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Chapter 4: Q 124 (page 406)

Write an application problem similar to Example 4.14. Then translate to a system of equations and solve it.

Short Answer

Expert verified

The two required numbers are52and-52.

Step by step solution

01

Step 1. Identify the required numbers.

Lets take an example:

Assume xand yare the two numbers.

The sum of the two numbers is 0.

So, x+y=0......(i)

One number is five less than the other.

So, y=x-5.......(ii)

Therefore, the system of equations isx+y=0y=x-5.

02

Step 2. Substitute the value of y in equation (i).

Substitute the value of yin equation (i),

x+x-5=02x=5x=52

Substituting x=52in equation (ii),

y=52-5y=5-102y=-52

03

Step 3. Check the answer by substituting the values of x,y in the equations.

Substitute in equation (i),

x+y=052+-52=00=0

This is true.

Again, substitute in equation (ii),

y=x-5-52=52-5-52=5-105-52=-52

This is also true.

The two required numbers are 52 and-52.

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