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Chapter 3: Q. 37 (page 316)

One number is one more than twice another. Their sum is −5. Find the numbers.

Short Answer

Expert verified

The numbers are -2and -3.

Step by step solution

01

Step 1. Given information

We have been given that one number is one more than twice another. Their sum is −5.

We have to find the numbers.

02

Step 2. Form the equations

From the statement: One number is one more than twice another. Their sum is −5

We get :

x=2y+1_______(1)x+y=-5_______(2)

03

Step 3. Solve for the equations

Put equation (1) in (2),

x+y=-52y+1+y=-53y=-6y=-2

Put the value of y in (1),

x=2y+1x=2(-2)+1x=-4+1x=-3

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