The ratio between two numbers is $7: 9 .$ If each number is increased by 44 , then the ratio becomes $11: 13 .$ Find their difference.
in Mathematics
26 views
1 Vote
1 Vote
The ratio between two numbers is $7: 9 .$ If each number is increased by 44 , then the ratio becomes $11: 13 .$ Find their difference.

(a) 33

(b) 11

(c) 22

(d) 44
in Mathematics
by
7.2k Points

1 Answer

1 Vote
1 Vote
 
Best Answer

Solution

 Let the numbers are $7 x$ and $9 x$

$\therefore$ From the question,

$\frac{7 x+44}{9 x+44}=\frac{11}{13}$

$\Rightarrow \quad x=11$

$\therefore$ First number $=7 x$

$=7 \times 11$

$=77$

Second number $=9 x$

$=9 \times 11$

$=99$

$\therefore \quad$ Required difference

$=99-77=22$; Ans.

$\therefore$ Correct option is  (c)

by
7.2k Points

Related Questions

Welcome To Informesia

Informesia Helps You To Prepare India's All States Board Exams (CBSE, ICSE, UP Board, BSEB, HPBOSE, RBSE, MSBSHSE) and Competitive Exam Like JEE (Main + Advanced), AIIMS, NEET, KVPY, NTSE, BITSAT, Olympiad, CLAT...etc.
For Any Query or Suggestion, Please Contact us on :
[email protected]

Connect us on Social Media