Math

QuestionFind the number: 4 times (number + 3) = 16. Solve it by working backward.

Studdy Solution

STEP 1

Assumptions1. A number is initially added by3. The sum is then multiplied by4 to give a result of163. We need to find the initial number

STEP 2

The problem can be represented by the equation4×(x+)=164 \times (x +) =16where x is the number we are trying to find.

STEP 3

To solve for x, we first need to isolate the term containing x. We can do this by dividing both sides of the equation by.
x+3=16/x +3 =16 /

STEP 4

Perform the division operation on the right-hand side.
x+3=4x +3 =4

STEP 5

Now, to isolate x, we need to subtract3 from both sides of the equation.
x=43x =4 -3

STEP 6

Perform the subtraction operation to find the value of x.
x=1x =1So, the number is1.

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