Question

1 year ago the ratio of Amit and Arun age was 6 to 7 respectively 4 years hence their ages will be in the ratio 7 is to 8 how old is Amit​

Answer 1

Answer:

Let the present ages of Amit and Arun be 6x & 7x respectively.

Let their ages after 4 years be 6x+4 & 7x+4

Also given , Ratio = 7:8

Eqn = 6x+4 = 7

____ ___

7x+4 8.

8 (6x+4) = 7 (7x+4)

48x+32 = 49x+28.

32-28=49x-48x

4=x.

x=4.

Amit's present age = 6x=6×4=24 yrs.

Arun's present age = 7x=7×4=28 yrs

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Answer 2

Answer:

amit's age=31

Step-by-step explanation:

let Amit age be x and arun age be y

1 year ago:

x-1/y-1=6/7

7x-7=6y-6

7x-6y=1 -----(1)

4 years hence:

x+4/y+4=7/8

8x+32=7y+28

8x-7y= -4 -----(2)

now,(1)-(2):-

y=36

substitute y=36 in equation (1):

7x-6*36=1

7x=217

x=31

Therefore,Amit age=31 years