The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is :
A. 11 : 9
B. 11 : 18
C. 21 : 19
D. 22 : 19
Answer: Option A
Solution(By Examveda Team)
Let the numbers be x and yThen,
$$\eqalign{ & \Leftrightarrow \frac{{x + y}}{{x - y}} = \frac{{40}}{4} \cr & \Leftrightarrow \frac{{x + y}}{{x - y}} = 10 \cr & \Leftrightarrow \left( {x + y} \right) = 10\left( {x - y} \right) \cr & \Leftrightarrow 9x = 11y \cr & \Leftrightarrow \frac{x}{y} = \frac{{11}}{9} \cr & \Leftrightarrow x:y = 11:9 \cr} $$
Related Questions on Problems on Numbers
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A. 35
B. 36
C. 45
D. 54
E. None of these
A. 9
B. 11
C. 13
D. 15
E. None of these
A. 3
B. 4
C. 9
D. Cannot be determined
E. None of these
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