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1. 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 5/2 of the number, the result is 23.

Answers (1)

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Let the number in each case be n.

(a) According to question: $8n\ +\ 4\ =\ 60$

or $8n\ =\ 60\ -\ 4\ =\ 56$

or $n\ =\ 7$

(b) We have :

$\frac{n}{5}\ -\ 4\ =\ 3$

or $\frac{n}{5}\ =\ 7$

or $n\ =\ 35$

(c) The equation is :

$\frac{3n}{4}\ +\ 3\ =\ 21$

or $\frac{3n}{4}\ =\ 18$

or $n\ =\ 24$

(d) We have :

$2n\ -\ 11\ =\ 15$

or $2n\ =\ 26$

or $n\ =\ 13$

(e) The equation is :

$50\ -\ 3n\ =\ 8$

or $3n\ =\ 42$

or $n\ =\ 14$

(f) We have :

$\frac{n+19}{5}\ =\ 8$

or $n\ +\ 19\ =\ 40$

or $n\ =\ 21$

(g) We have :

$\frac{5n}{2}\ -\ 7\ =\ 23$

or $\frac{5n}{2}\ =\ 30$

or $n\ =\ 12$

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Sanket Gandhi

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