Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
The sum of four numbers $A, B, C$ and $D$ is 110. $C$ is twice $A$, sum of $A$ and $D$ is equal to that of $B$ and $C$ and $A: B$ is $3: 5$. The numbers are
(a)3, 5, 6, 8
(b)15, 25, 30, 40
(c)15, 25, 35, 45
(d)None of these
Answer
Answer (as printed): B
Explanation
Let $A=3 x, B=5 x$.Then, $C=2 \times 3 x=6 x, A+D=B+C$ $\Rightarrow 3 x+D=5 x+6 x \Rightarrow D=8 x$. $$A+B+C+D=110 \Rightarrow 3 x+5 x+6 x+8 x=110$$ $\Rightarrow 22 x=110 \Rightarrow x=5$. So, the numbers are $(3 \times 5),(5 \times 5),(6 \times 5)$ and $(8 \times 5)$ i.e., 15, 25, 30 and 40.
Explanation as extracted from the printed page; notation may be imperfect.