Question

Fill in the blanks to make the statement true. Sum of two numbers 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 number are and .

Answer 1

a.
Find the number
Given the smaller number is $x$.
sum of two numbers $=81$
$\Rightarrow x+\text{larger number}=81$
$\Rightarrow \text{Larger number}=81-x$
Larger number = Twice the smaller number
$=2x$
Hence, the other number is $2x\text{or}81-x$

b.
Find the equation
Sum of two number $=81$
$\Rightarrow x+\text{larger number}=81$
$\Rightarrow x+2x=81$
$\Rightarrow 2x=81-x$
Hence, the equation formed is $2x=81-x$

c.
Find the solution
$x+2x=81$
$\Rightarrow 3x=81$
$\Rightarrow x=\frac{81}{3}$
$\Rightarrow x=27$
Hence the solution of the equation is $27.$

d.
Find the number
smaller number $=x$
$=27$
larger number$=2x$
$=2\times 27$
$=54$
Hence, the numbers are $27\text{and}54$