1.

two numbers are in the ratio 3:4 if 6 is added to each term of the ratio there is an increase of 20% in the ratio find the first and second number.​

Answer»

Answer:

3 and 4

Step-by-step explanation:

As the ratio is 3:4, let the numbers are 3A and 4A.

When 6 is added to each term of the ratio there is an INCREASE of 20%.

New numbers are 3a + 6 & 4a + 6.

New ratio is 3/4 + (20% of 3/4)= 3/4 + 3/20

= 18/20 = 9/10

=> (3a + 6) / (4a + 6) = 9/10

=> 10(3a + 6) = 9(4a + 6)

=> 30a + 60 = 36a + 54

=> 60 - 54 = 36a - 30a

=> 6 = 6a

=> 1 = a

Therefore, numbers are

3a = 3(1) = 3, and,

4a = 4(1) = 4



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