Question

the present ages of Aman and naman are in the ratio 4 : 5. 8 years hence, the ratio of their ages will be 5 : 6. find their present ages

Answer 1

let the present ages of Aman and naman is 4x and 5x .

After 8 year , age of Aman is 4x+8 and age of naman is 5x+8

now according to questions
=> (4x+8)/(5x+8) = 5/6

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

=>24x+48= 25x+40

=>(25-24)x = 48-40

=>x = 8

so , present age of
Aman = 4x = 4×8 = 32
Naman = 5x = 5×8=40

Answer 2

$\huge\bold{BACK\:TO\:BACK}$

$<b><u>Hey$

===>
hey ,, the given ratio is,,,

4:5,,,

let their unknown age be x,,
,, hence after 8 years,,,,
their ages are in ratio 5 : 6...

this is given by....

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

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

24x + 48 = 25 x + 40

25x - 24x = 48 - 40

x = 8,,,

hence,,, their ages are ,,,,

4x= 4(8) = 32 = 32..aman's age..

5x = 5(8) = 40 = 40...naman's age...

$<b><u>RGRDS..@STYLG...$