Set up an equation and solve it to find the unknown number:
Alex thinks of a number. If he adds 19 to it and divides the sum by 5, he will get 8.

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Solution

Let the number be n.
According to the question, $\frac{n + 19}{5} = 8$
$\Rightarrow n + 19 = 8 \times 5 \Rightarrow n + 19 = 40$
$\Rightarrow n = 40 - 19 \Rightarrow n = 21$

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Similar questions

Set up the equation and solve it to find the unknown number in the following case:
Ibenhal thinks of a number. If she adds $19$ to it divides the sum by $5$ , she will get $8$ .

Set up equations and solve them to find the unknown numbers in the following cases:

(a) Add 4 to eight times a number; you get 60.

(b) One-fifth of a number minus 4 gives 3.

(d) When I subtracted 11 from twice a number, the result was 15.

(e) Munna subtracts thrice the number of notebooks he has from 50, he finds the result to be 8.

(f) Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.

(g) Anwar thinks of a number. If he takes away 7 from of the number, the result is 23.

Q. Question 1(c)
Set up equations and solve them to find the unknown numbers in the following cases:
If I take three-fourth of a number and add 3 to it, I get 21.

Question 1(e)
Set up equations and solve them to find the unknown numbers in the following cases:
Munna subtracts thrice the number of notebooks he has from 50, he finds the result to be 8.

Q. Question 1(g)
Set up equations and solve them to find the unknown numbers in the following cases:
Think of a number. If he takes away 7 from

\frac{5}{2}

of the number, the result is

\frac{11}{2}

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Set up an equation and solve it to find the unknown number: Alex thinks of a number. If he adds 19 to it and divides the sum by 5, he will get 8.

Let the number be n. According to the question, n+195=8 ⇒n+19=8×5 ⇒n+19=40 ⇒n=40−19⇒n=21

Set up an equation and solve it to find the unknown number:
Alex thinks of a number. If he adds 19 to it and divides the sum by 5, he will get 8.

Let the number be n.
According to the question, $\frac{n + 19}{5} = 8$
$\Rightarrow n + 19 = 8 \times 5 \Rightarrow n + 19 = 40$
$\Rightarrow n = 40 - 19 \Rightarrow n = 21$