Question

The difference between two natural number is 28 the smaller number is 3/4 of the greater
number find the number

Answer 1

Answer:

Greater number is $112$ and smaller number is $84$ .

Step-by-step explanation:  

To find : missing numbers .

Given : the difference between two natural number is $28$  the smaller number is $\frac{3}{4}$ of the greater  number .

Solution :

• As per given data we know that the difference between two natural number is $28$  the smaller number is $\frac{3}{4}$ of the greater  number .
• Let greater number be $x$ and smaller number be $\frac{3}{4} x$ .
• According to given condition we write as $x - \frac{3}{4}x = 28$ .
• Using transposition method we find the value of $x$ by transposing constants at RHS and leaving variable at LHS .

         $x - \frac{3}{4}x = 28 \\\\\frac{4x-3x }{4} = 28 \\\\\frac{x }{4} = 28 \\\\x = 28\times 4 \\\\x = 112$  

• Now , greater number = $x = 112$

                   smaller number = $\frac{3}{4}x = \frac{3}{4}\times 112$

                                                       $= 3\times 28 \\= 84$

Answer 2

Greater number is 112112 and smaller number is 8484 .

Step-by-step explanation:

To find : missing numbers .

Given : the difference between two natural number is 2828 the smaller number is \frac{3}{4}

4

3

of the greater number .

Solution :

As per given data we know that the difference between two natural number is 2828 the smaller number is \frac{3}{4}

4

3

of the greater number .

Let greater number be xx and smaller number be \frac{3}{4} x

4

3

x .

According to given condition we write as x - \frac{3}{4}x = 28x−

4

3

x=28 .

Using transposition method we find the value of xx by transposing constants at RHS and leaving variable at LHS .

\begin{gathered}x - \frac{3}{4}x = 28 \\\\\frac{4x-3x }{4} = 28 \\\\\frac{x }{4} = 28 \\\\x = 28\times 4 \\\\x = 112\end{gathered}

x−

4

3

x=28

4

4x−3x

=28

4

x

=28

x=28×4

x=112

Now , greater number = x = 112x=112

smaller number = \frac{3}{4}x = \frac{3}{4}\times 112

4

3

x=

4

3

×112

\begin{gathered}= 3\times 28 \\= 84\end{gathered}

=3×28

=84