Question

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.
(c) If I take three-fourths of a number and add 3 to it, I get 21.
(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 $\frac{5}{2}$ of the number,the result is 23.

Answer 1

(a) Let the number be x
According to the question, 8x+4=60
$\Rightarrow$ 8x+4=60
$\Rightarrow$ 8x=56
$\Rightarrow$ $x=\frac{56}{8}$

---

(b) Let the number be y
According to the question, $\frac{y}{5}-4=3$

---

(c) Let the number be z
According to the question, $\frac{3}{4}z+3=21$

---

(d) Let the number be x According to the question,
2x-11=15

---

(e) Let the number be m
According to the question, 50-3m=8

---

(f) Let the number be n, According to the question, $\frac{n+19}{5}=8$

---

(g) Let the number be x According to the question, $\frac{5}{2}x-7=\frac{11}{2}$