Question

The difference of two positive numbers is 69.
The quotient obtained on dividing one by the
other is 4. Find the number?​

Answer 1

Step-by-step explanation:

Let them be x and y respectively

so given

\begin{gathered}x - y = 69 \\ \end{gathered}

x−y=69

and

\begin{gathered} \frac{x}{y} = 4 \\ so \: x = 4y(cross \: multiplication)\end{gathered}

y

x

=4

sox=4y(crossmultiplication)

so we can write

x - y = 69x−y=69

as

\begin{gathered}4y - y = 69 \\ 3y = 69 \\ y = 69 \div 3 \\ y = 23\end{gathered}

4y−y=69

3y=69

y=69÷3

y=23

now y is 23

so putting in any equation will give the value of x

so

\begin{gathered}x - y = 69 \\ = > x - 23 = 69 \\ x = 69 + 23 \\ x = 92\end{gathered}

x−y=69

=>x−23=69

x=69+23

x=92

x is 92 and y is 23

Answer 2

Answer:

Let the numbers be x & y

Then,

x-y =69 (eq. 1)

and x/y =4

So,

x= 4y

Putting the value of X in eq 1

(4y) - y = 69

3y =69

Y = 23

Now we know that x = 4y

So, x = 4*23 = 92

Hence, x= 92; y= 23