Question

If you multiply a number by 3 and then add 40, the result is the same as if you add 17 to the number and then multiply by 2. What is the result if you subtract 9 from the number and then multiply by 4? .

Answer 1

Answer:

The number is -6

The second operation is -60

Step-by-step explanation:

Let the number be x.

Solving (a): The value of x

Operations 1:

Multiply by 3: 3x

Add 40: 3x + 40

Operations 2:

Add 17: x + 17

Multiply by 2: (x + 17) * 2

To find x, equate both operations.

$3x + 40 = (x + 17) *2$

$3x + 40 = 2x + 34$

Collect like terms

$3x - 2x = 34 - 40$

$x = -6$

Solving (b):

Operations:

Subtract 9: $x - 9$

Multiply by 4: $(x - 9) * 4$

This gives:

$(x - 9) * 4 = (-6 - 9) * 4$

$(x - 9) * 4 = -15 * 4$

$(x - 9) * 4 = -60$