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Chapter 3: Q. 31 (page 316)

In the following exercises, solve each number word

The sum of two numbers is 鈭�316. One number is 94less than the other. Find the numbers.

Short Answer

Expert verified

The number is -111and the other number is -205.

Step by step solution

01

Step 1. Given Information  

We are given that one number is 94less than the other and their sum is -316.

We have to find the numbers.

02

Step 2. Forming the equation   

Let the number be x,

So, the other number will be x-94,

So, the equation will be,

x+x-94=-316

03

Step 3. Solving the equation  

Adding 94on both sides, we get

x+x-94=-3162x-94=-3162x=-316+942x=-222

Dividing by 2,

x=-2222x=-111

The other number will be -111-94=-205,

Hence, the number is -111and the other number is -205.

04

Step 4. Checking the solution   

Putting the value of xin the equation, we get

x+x-94=-316-111-111-94=-316-316=-316LHS=RHS

Hence the solution is correct.

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