2 Answers

Tshimanga · Answer 1 · 2024-02-18T06:23:32+0000

Answer:

Explanation:

The question is asking us to find the number, given that:

Twice the number increased by 5 is the same as three times the number decreased by 8.

The first step is to call the number b.

Then, twice the number b = 2b.

If we increase a number by 5, we add 5 to that number. Here we increase 2b by 5:

2b + 5

Next, this is the same as three times the number (3b) decreased by 8. This means that we subtract 8:

3b - 8

We end up with a little equation that we can solve:

2b + 5 = 3b - 8

Begin by subtracting 5 from each side:

2b = 3b - 8 -5

2b = 3b - 13

Next, subtract 3b from each side:

2b - 3b = -13

-b = -13

$\boxed{\sf{b = 13}}$

$\therefore\qquad\bf{b=13}$

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