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Chapter 2: Q. 646 (page 222)

In the following exercise, translate to an equation or inequality and solve.

One number is four more than twice another. Their sum is -47. Find the numbers.

Short Answer

Expert verified

The final numbers are-30,-17

Step by step solution

01

Step 1. Given information

The given statement is One number is four more than twice another. Their sum is -47.

02

Step 2. Translation

We will first let the two numbers be x,y.

One number is four more than twice another implies that x=4+2y.

And the sum of the two numbers is -47implies that x+y=-47

03

Step 3. Calculation

Solve the equations to find the numbers.

x+y=-47(2y+4)+y=-473y+4=-473y=-51y=-17

And

x=4+2yx=4+2(-17)x=-30

Thus, the numbers are-30,-17

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