Question

two numbers are in the ratio 3:4 if 6is added to each number the ratio becomes 7:8 . find the number​

Answer 1

Answer:

18 and 24 are in the ratio 3:4

if added by 6 then numbers changes to 24 and 30 which is in the ratio 4:5

Thus the numbers are 18 and 24

                                                       OR

Ratio of numbers = 3:4

So the numbers be 3x , 4x

Given '6' is added to each term, ratio will be 4:5

(3x + 6)/(4x + 6) = 4/5

5*(3x + 6) = 4*(4x + 6)

15x + 30 = 16x + 24

x = 6

3x = 3*6 = 18... 4x = 4*6 = 24

Hence numbers are 18 and 24.

[cross-check: 18:24 = 3:4.... 6 added to each, 18+6 : 24+6 = 24:30 = 4:5..hence verified the number are 18,24]

Hope it helps.

Step-by-step explanation:

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