Question

Akash is double the age of his younger brother. After 10 years, the ratio of their ages will be 5:3. How old are they now?

Answer 1

Answer:

40 & 20 years old

Step-by-step explanation:

Akash age- a & Brother age- b

As per given:

Now:

a=2b

After 10 years:

(a+10)/(b+10)=5/3

3(a+10)=5(b+10)

3a+30=5b+50

3a=5b+20

as we have a=2b,

3*2b=5b+20

b=20 and a=2b=40

So Akash is 40 and his brother is 20 years old

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Answer 2

Answer:

let the age of akash be x and that of his younger brother be y

ATQ,

x=2y----(1)

after ten years,

ATQ,

(x+10)/(y+10)=5/3

3(x+10)=5(y+10)

3x+30=5y+50

3x-5y=50-30

3x-5y=20

x=20years and y= 40years

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