Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
A. 27
B. 33
C. 49
D. 55
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{number}}\,{\text{be}}\,3x\,{\text{and}}\,5x \cr & {\text{Then}},\,\frac{{3x - 9}}{{5x - 9}} = \frac{{12}}{{23}} \cr & \Rightarrow 23\left( {3x - 9} \right) = 12\left( {5x - 9} \right) \cr & \Rightarrow 9x = 99 \cr & \Rightarrow x = 11 \cr & \therefore {\text{The}}\,{\text{smaller}}\,{\text{number}} \cr & = {3 \times 11} \cr & = 33 \cr} $$Join The Discussion
Comments ( 1 )
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
how that 99 comes