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Chapter 4: Q80. (page 174)

Write the verbal sentence as an equation and also solve this

鈥淭wo times the sum of 3and a number is equal to 5plus the number.鈥�

Short Answer

Expert verified

The equation is2(x+3)=5+xand the solution isx=鈭�1.

Step by step solution

01

Step  1  . Apply the concept of linear equation

In this, simply use the concept of making a linear equation by understand the statement carefully and then solve it by doing various mathematical operations.

02

Step -2 – Find the equation

Here, the statement is : Two times the sum of 3 and a number is equal to 5 plus the number.

Since,

Let the number be x.

2 times the sum of 3 and that number, which gives -2(x+3)

The above number is now equal to 5 plus the number-5+x

So, the final equation becomes:2(x+3)=5+x.

03

Step -3 – Solving the equation

The equation is2(x+3)=5+x.

Simple open the bracket and make the variable and constant of the separate side and do mathematical operations,

2(x+3)=5+x2x+6=5+x2x鈭�x=5鈭�6x=鈭�1

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