Question

Present ages of saika and amir are in ratio 4:5.8years from now the ratio of their ages will be 5:6 .fund their present ages

Answer 1

Let the present age of Sanika ani Amir be 4x and 5x

After 8 years,

Age of Sanika = 4x + 8

Age of Amir = 5x + 8


According to the given condition

$\dfrac{4x + 8}{5x + 8} = \dfrac{5}{6}$

☛ 6(4x + 8) = 5(5x + 8)

☛ 24x + 48 = 25x + 40

☛ 48 - 40 = 25x - 24x

∴ x = 8


∴ Present age of Sanika ☛ 4x

☛ 4 × 8

☛ $\boxed{\boxed{\tt{32\:years}}}$


∴ Present age of Amir ☛ 5x

☛ 5 × 8

☛ $\boxed{\boxed{\tt{40\:years}}}$

Answer 2

$\underline{\underline{\bold{Question:}}}$

Present ages of Saika and Amir are in ratio 4:5 . 8 years from now the ratio of their ages will be 5:6 . Find their present ages.

$\underline{\bold{Solution:}}$

Let the present age of Saika be 4x years.

and the present age of Amir be 5x years.

After 8 years ,

• The age of Saika will be = (4x+8) years.
• The age of Amir will be =  (5x+8) years.

According to question ,

$\implies{\bold{\dfrac{4x+8}{5x+8}=\dfrac{5}{6}}}\\\\\\\implies{\bold{(4x+8)6=(5x+8)5}}\\\\\\\implies{\bold{24x+48=25x+40}}\\\\\\\implies{\bold{25x-24x=48-40}}\\\\\\\implies{\bold{x=8.}}\\\\\\\boxed{\boxed{\bold{The\:age\:of\:Saika\:and\:Amir=32\:and\:40\:respectively.}}}$