Two numbers are in the ratio 2 : 3. When 15 is added to both the numbers, the ratio becomes 11 : 14. Find the smaller number.
Answer & explanation
Correct answer: option 2
Two numbers are in the ratio 2 : 3
Let two numbers are :- 2a , 3a
ATQ,
\(\frac{ 2a + 15 }{ 3a + 15 }\) = \(\frac{ 11 }{ 14 }\)
28a + 210 = 33a + 165
5a = 45
a = 9
Smaller number = 2a
= 2 × 9
= 18
The correct answer is option (2) : 18