Question

Two numbers are in the ratio of 9:11 if sum of these two numbers is 660, find the difference between the numbers

Answer 1

To find the difference between them then we should find numbers the numbers are 9+11=20 660*9/20 is 297 and another number is 660*11/20 is 363 then the difference is 363-297 is 66

Answer 2

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

Ratio of 2 numbers are 9 : 11

Assumption

${\boxed{\sf\:{1^{st}\;Number=9p}}}$

${\boxed{\sf\:{2^{nd}\;Number=11p}}}$

$\textbf{\underline{According\;to\;the\;Information}}$

Sum of two numbers = 660.

Therefore,

9p + 11p = 660

20p = 660

$\tt{\rightarrow p=\dfrac{660}{20}}$

p = 33

So we get :-

$\textbf{\underline{First\;Number}}$

= 9 × 33

= 297

$\textbf{\underline{Second\;Number}}$

= 11× 33

= 363

Therefore,

$\textbf{\underline{Difference\;between\;the\;numbers\; are :-}}$

= 363 - 297

= 66

Hence we get :-

$\huge{\boxed{\bigstar{{Difference\;between\;the\;numbers\;=\;66}}}}$