Question

The difference between two numbers is 72 and their quotient is 10 what are those two numbers??? :l

Answer 1

Let numbers be x and y 

We have, x - y = 72
     and, x = 10y

so, 10y - y = 72
          y = 8

so, x= 80

Hence, Nos. are 80 and 8 

Answer 2

The difference between two numbers is 72 and their quotient is 10 then the numbers are 80 and 8

Solution:

Let the two numbers be x and y

Given that difference between two numbers is 72

So x + y = 72  ---- eqn 1

Given that the quotient is 10

$\begin{array}{l}{\frac{x}{y}=10} \\\\ {x=10 y}\end{array}$

Substituting the value of x in x - y = 72, we get

$\begin{array}{l}{10 y-y=72} \\\\ {9 y=72} \\\\ {y=\frac{72}{9}=8}\end{array}$

Thus  

x - y = 72

x - 8 = 72

x = 72 + 8

x = 80

Thus the two numbers are 80 and 8

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