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Chapter 4: Q. 73 (page 404)

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

Short Answer

Expert verified

The required numbers are13and17.

Step by step solution

01

Step 1. Given and explanation 

There are two numbers whose sum is30and one number is 4less than the other number.

Assume the numbers to be x,y.

Their sum, i.e., 30can be written as x+y=30.

One number is 4less than the other can be written as x=y-4.

02

Step 2. Finding the value of first variable by substitution. 

We have two equations, i.e.,

x+y=30x=y-4

Substituting the value of xin first equation gives us,

localid="1644337362055" (y-4)+y=302y=30+42y=34y=17

03

Step 3. Finding the value of other variable.

Putting y=17in

x+y=30gives us,

x+17=30x=13

This shows that the two numbers are13&17.

04

Step 4. Check the solution.

We will check the answer by putting in both the equations. If the equations satisfy, our answers are right.

  1. First equation is
    x+y=3013+17=3030=30
    Hence satisfied.
  2. Second equation is
    x=y-413=17-413=13
    Hence satisfied.

Thus our answers are right.

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