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Chapter 3: Q. 30 (page 316)

In the following exercises, solve each number word

The sum of two numbers is 鈭�61. One number is 35more than the other. Find the numbers.

Short Answer

Expert verified

The number is -48and the other number is -13.

Step by step solution

01

Step 1. Given Information  

We are given that one number is 35more than the other.

We have to find the numbers.

02

Step 2. Forming the equation   

Let the number be x,

So, the other number will be x+35,

So, the equation will be,

x+x+35=-612x+35=-61

03

Step 3. Solving the equation  

Subtracting35from both sides, we get

2x+35=-612x+35-35=-61-352x=-96

Dividing by 2,

x=-962x=-48

The other number will be -48+35=-13,

Hence, the number is -48and the other number is -13.

04

Step 4. Checking the solution   

Putting the value of xin the equation, we get

x+x+35=-61-48-48+35=-61-61=-61LHS=RHS

Hence the solution is correct.

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