Question

Frame the equations for the following statements solve them.

a) If 8 more than a number is 12, Find the number.

b) If 11 is subtracted from a number, the result is -2. Find the number.

c) If one-sixth of a number is 7, find the number.

d) If one more than 5 times a number is 71, find the number.

e) If one number is 5 more than the other and their sum is 29, find the smaller number.

f) If 3 taken always from 5 times a number, the result is 17. Find the number​

Answer 1

Answer:

(i) let number =x

x+8=12

(ii) let number =x

x-11=-2

(iii) let number =x

1/6×X=7

(iv) let number =x

5x+1=71

(v) let one number =x

let other number =y

x+5y=29

(vi) let number=x

5x-3=17

Answer 2

a. Let the no. be x

x + 8 = 12

x = 12 - 8

= 4

b. Let the no. be x

x - 11 = -2

x = 11 - 2

= 9

c. Let the no. be x

$\frac{1}{6} \times x \: = 7$

x = 7 × 6

= 42

d. Let the no. be x

1 + 5x = 71

5x = 71 - 1

5x = 70

$x \: = \frac{70}{5}$

x = 14

e. Let the smaller no. be x

x + 5 + x = 29

= 2x + 5 = 29

2x = 29 - 5

2x = 24

$x \: = \frac{24}{2}$

x = 12

f. Let the no. be x

5x - 3 = 17

5x = 17 + 3

5x = 20

$x \: = \frac{20}{5}$

x = 4