Question

Question 20

Fill in the blanks to make the statement true.
Sum of two number is 81. One is twice the other.

(a) If smaller number is x, the other number is ............
(b) The equation formed is ............
(c) The solution of the equation is ..............
(d) The numbers are ............. and .............

Answer 1

(a) We are given that one number is twice the other.
If smaller number is x, then the other number is 2x.

(b) We are given that sum of two number is 81. So, the equation will be
x + 2x = 81

(c) Now, solve the equation for x,
$\Rightarrow x+2x=81\Rightarrow 3x=81\Rightarrow \frac{3x}{3}=\frac{81}{3}x=27$
Hence, the solution of the equation is 27.

(d) The two numbers are x = 27 and 2x = $2\times 27=54.$