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
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
Answers & Comments
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
Verified answer
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
[tex] \frac{1}{6} \times x \: = 7[/tex]
x = 7 × 6
= 42
d. Let the no. be x
1 + 5x = 71
5x = 71 - 1
5x = 70
[tex]x \: = \frac{70}{5} [/tex]
x = 14
e. Let the smaller no. be x
x + 5 + x = 29
= 2x + 5 = 29
2x = 29 - 5
2x = 24
[tex]x \: = \frac{24}{2} [/tex]
x = 12
f. Let the no. be x
5x - 3 = 17
5x = 17 + 3
5x = 20
[tex]x \: = \frac{20}{5} [/tex]
x = 4