Question

a)1 added to tripple of a number is 100

b) 10 added to half of a number is 100​

Answer 1

Answer:

a) number = 33

b) number = 180

Step-by-step explanation:

a) 1 added to tripple of a number is 100

= 1 + 3×(a number) = 100

[let us consider number as x]

=> 1 + 3×x = 100

=> 3x + 1 = 100

=> 3x = 100-1

=> 3×x = 99

=> x = 99÷3

=> x = 33

Hence the number is 33.

b) 10 added to half of a number

$10 \: + \frac{1}{2} of \: a \: number \: = 100 \\ (let \: us \: consider \: number \: as \: x) \\ = > 10 + \frac{1}{2} \times x = 100 \\ = > 10 + \frac{x}{2} = 100 \\ = > \frac{x}{2} = 100 - 10 \\ = > \frac{x}{2} = 90 \\ = > x = 90 \times 2 \\ = > x = 180$

Hence the number is 180.

hope it helps.