The ratio between two numbers is 2 : 3. If each number is increased by 2, then the ratio becomes 3 : 4. Find the sum of the original numbers.
Answer & explanation
Correct answer: option 1
Ratio between two numbers is 2 : 3
So, Two numbers are 2x and 3x
If each number is increased by 2, then the ratio becomes 3 : 4
According to question ,
\(\frac{2x + 2 }{3x + 2 }\) = \(\frac{3}{4}\)
8x + 8 = 9x + 6
x = 2
So, Sum of original numbers = 2x + 3x
= 5x
= 5 × 2
= 10