Question

If the difference of two numbers is 72 and the quotient is 10 what are the numbers

Answer 1

AnswEr:

Let us Consider that one Number be x.

And, Second Number be y.

$\diamond\bold{\underline{\sf{According\; to\; Question\; Now,}}}$

The Difference between two numbers is 72.

$:\implies\sf\; x - y = 72$

And, Quotient is 10.

$:\implies\sf\dfrac{x}{y}\; = \; 10$

$:\implies\sf\;x = 10y$

$\bold{\underline{\sf{Putting\; the\; Value\; of \; x}}}$

$:\implies\sf\; x - y = 72$

$:\implies\sf\;10y - y = 72$

$:\implies\sf\; 9y = 72$

$:\implies\sf\; \dfrac{72}{9}$

$:\implies\large{\underline{\boxed{\sf{\red{x = 8}}}}}$

$\rule{150}3$

$\bold{\underline{\sf{Now,\;Putting\; the\; Value\; of \; y}}}$

$:\implies\sf\; x - y = 72$

$:\implies\sf\; x - 8 = 72$

$:\implies\sf\;x = 72 + 8$

$:\implies\large{\underline{\boxed{\sf{\red{ x = 80}}}}}$

$\bold{\underline{\sf{\pink{The\; Numbers\; are \; 80 \; and \; 8.}}}}$

$\rule{150}3$

Answer 2

I hope it will help you!