Question

present Age of nisha and bandhu are the ratio4:5eight year from now ratio of their ages will be 5:6.find the present ages.

Answer 1

Answer:

Step-by-step explanation:

4x+8/5x+8=5/6

By cross multiplication we get

6(4x+8)=5(5x+8)

24x+48=25x+40

X=8

Present age of nisha =4x=4x8=32

Present age of bandu=5x=5x8=40

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Answer 2

let present age be x
and
let the age after 8 yrs be y

=> 4x/5x + 8 = 5y/6y
=> 5y - 4x = 8
6y - 5x =8

=>6 ( 5y - 4x ) = 48
5 (6y - 5x) = 40

=> 30y - 24x = 48
(-) 30y - 25x = 40
- + -
----------------------------------

30y - 30y = 0

and

-24x + 25x = x

and

48 - 40 = 8
----------------------------------
0 + x = 8

=> x = 8

present age of nisha = 4×8 = 32

present age of bandhu = 5 × 8 = 40