Question

Present age of any and Raj are in the ratio 4:5 eight year from now the ratio of their ages will be 5:6 .find their present age

Answer 1

Answer:

any 32 and raj 40

Step-by-step explanation:

letbit assume that the age of any is 4x and that of raj is 5x

and their age after 8 years are 5y and 6y

so 4x+8=5y....(1)

and 5x+8= 6y...(2)

now solve equation 1 and 2

from... (1) we can right

4x+8 =5y

or 20x+ 40= 25y

by multyplying both side with 5

from.... (2)

5x+8=6y

or 20x +32= 24 y

by multiplying both side with 4

now equation 1 - equation 2

(20 x+40) -(20x+32) =25 y-24y

or 20x+40-20x-32 =y

or (dismiss +20x and -20x)

40-32=y

or we can say y =8

flif we put the value of..... (1)

it comes

4x +8 =5y

or 4x+8= 5*8=40

or 4x= 40-8=32

ox x=32/ 4= 8

their present age are 4x and 5x I.e 4*8=32 and 5*8= 40

Answer 2

Step-by-step explanation:

Let the present age of Anu is 4x.Then, the present age of Raj will be 5x

8 years from now,

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

24x+48 = 25x+40

24x - 25x = 40 - 48

-x = -8 [ here both the signs are same so - get cancelled ]

x = 8

so, Present age of Anu is 32 years and present age of Raj is 40 years.

hope it is helpful