Question

the ratio of anu's age to beena's age is 2:5 . ten years later, the ratio of thier ages will be 4:7. find their present ages​

Answer 1

Step-by-step explanation:

I think that is the correct answer

Answer 2

Given:

• Ratio of present age of Anu and Benna is 2:5
• Ratio of age of Anu to Beena after 10 years will be 4:7

To Find:

• Present age of Anu and Beena?

Solution:

As per given question, present age of Anu and Beena is 2:5

Let suppose that:

• Present age of Anu is 2x
• Present age of Beena is 5x

Now,

Given that their ratio of age after 10 year will be 4:7

Therefore,

• Age of Anu after 10 year = 2x + 10
• Age of Beena after 10 year = 5x + 10

According to given condition :

$\small{\bf{\dfrac{2x+10}{5x+10}~=~\dfrac{4}{7}}}$

[On cross multiplication]

$\implies\small{\bf{7(2x+10)~=~4(5x+10)}}$

$\implies\small{\bf{14x+70~=~20x+40}}$

$\implies\small{\bf{14x-20x~=~40-70}}$

$\implies\small{\bf{-6x~=~-30}}$

$\implies\small{\bf{\cancel{-}6x~=~\cancel{-}30}}$

$\implies\small{\bf{6x~=~30}}$

$\implies\small{\bf{x~=~\dfrac{30}{6}}}$

$\implies\small{\bf{x~=~\cancel\dfrac{30}{6}}}$

$\implies\small{\bf{x~=~5}}$

Therefore,

• Present age of Anu = 2x = 2×5 = 10 years
• Present age of Beena = 5x = 5×5 = 25 years.