Two numbers are in the ratio 7 : 11. If 7 is added to each of the numbers, the ratio becomes 2 : 3. The smaller number is -
A. 39
B. 49
C. 66
D. 77
Answer: Option B
Solution(By Examveda Team)
Let the numbers be 7x and 11x respectivelyThen,
$$\eqalign{ & = \frac{{7x + 7}}{{11x + 7}} = \frac{2}{3} \cr & \Rightarrow 21x + 21 = 22x + 14 \cr & \Rightarrow x = 7 \cr & \therefore {\text{Smaller number}} \cr & = 7 \times 7 \cr & = 49 \cr} $$
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
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