Question : A number is divided in the ratio 5 : 7. When 6 is added to each, the ratio changes to 7 : 9. Find the greater number.
Option 1: 12
Option 2: 18
Option 3: 15
Option 4: 21
Answer (1)
21st Jan, 2024
Correct Answer: 21
Solution :
Let the numbers be $5x$ and $7x$.
According to the question,
$\frac{5x+6}{7x+6}=\frac{7}{9}$
⇒ $45x+54=49x+42$
⇒ $4x=12$
⇒ $x=3$
Thus, the greater number is $7x=7\times3=21$
Hence, the correct answer is 21.
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