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Chapter 4: Q. 72 (page 404)

The sum of two number is 15. One number is 3less than the other. Find the numbers.

Short Answer

Expert verified

The required numbers are 6and 9.

Step by step solution

01

Step 1. Given and explanation

There are two numbers whose sum is 15and one number is 3less than the other number.

Assume the numbers to be x,y.

Their sum, i.e., 15can be written as x+y=15.

And one number is3less than the other can be written asx=y-3.

02

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

We have two equations, i.e. ,

x+y=15x=y-3

Substituting the value of xin the first equation gives us,

localid="1644337411972" (y-3)+y=152y=15+32y=18y=9

03

Step 3. Finding the value of other variable

Puttingy=9 in
x+y=15gives us,

x+9=15x=6

This shows that the two numbers are6&9.

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=156+9=1515=15
    Hence satisfied.
  2. Second equation is
    x=y-36=9-36=6
    Hence satisfied.

Thus our answers are right.

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