Question

two numbers are in ratio 5:6. When 2 is added to first and 3 is added to second, they are in ratio 4:5 .Find the number

Answer please ​

Answer 1

Answer:

10 and 12

Step-by-step explanation:

As the ratio is 5:6, let the numbers are 5a amd 6a.

When 2 is added to 5a,number=5a+2

When 3 is added to 6a,number=6a+3

Ratio is 4:5

=> (5a + 2)/(6a + 3) = 4/5

=> 5(5a + 2) = 4(6a + 3)

=> 25a + 10 = 24a + 12

=> 25a - 24a = 12 - 10

=> a = 2

Hence, the numbers are

5a = 5(2) = 10

6a = 6(2) = 12