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Chapter 5: Q. 108 (page 612)

In the following exercises, translate to a system of equations and solve.

The sum of two numbers is 30. One number is 4 less than the other. Find the numbers.

Short Answer

Expert verified

The numbers are 13 and 17

Step by step solution

01

Step 1. Given Information 

The given data is that the sum of two numbers is 30. One number is 4 less than the other.

02

Step 2. Calculation 

Let us assume that x be the first number and y be the second number.

The sum of two number is 30 implies that x+y=30--(1)

One number is 4 less than the other implies that x=y-4--(2)

Substitute the value of variable x from equation (2) in equation (1).

localid="1647450236787" x+y=30y-4+y=302y=34y=17

Find the value of variable x by using the obtained value of y.

x=y-4x=17-4x=13

Thus, the required ordered pair is(13,17)

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