Question

(i) Solve and find the value of : 2( + 4) − 10 = 44
(ii) Frame an equation and solve: A number added to one-third of itself equals 12. What is
the number?

Answer 1

Answer:

(ii)=9

Step-by-step explanation:

(ii) let the number be x

so, x/3+x=12

  x+3x/3=12

x+3x=36

4x=36

x=9

Answer 2

$(i) = 2(x + 4) - 10 = 44 \\ 2x + 8 - 10 = 44 \\ (2x - 2 = 44) \div 2 \\ x - 1 = 22 \\ x = 22 + 1 \\ x = 23$

$(ii)$

Let the number be X

According to the question

$x + \frac{x}{ 3} = 12 \\ \frac{3x + x}{3} = 12 \\ 4x = 36 \\ x = 9$

The number is 9.

Hope this will be helpful.