Question

Five years ago Nuri was thrice as old as song.Ten years later,Nuri will be twice as old as Sonu .How old are they

Answer 1

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$\bold{\underline{Question-}}$

Five years ago Nuri was thrice as old as song.Ten years later,Nuri will be twice as old as Sonu .How old are they



$\bold{\underline{Answer-}}$According to the question we know that Five years ago Nuri was thrice as old as sonu.Ten years later,Nuri will be twice as old as Sonu


Now,



Let the age of nuri is x years old



and the age of sonu is y years




we know that five years ago Nuri was thrice as old as sonu



So,



five years ago the age of Nuri = x - 5 years




and five years ago the age of Sonu = y - 5 years




then,




according to the question -




Age of nuri = 3* age of sonu



Now putting the above values



=> x - 5 = 3 × ( y - 5)



=> x - 5 = 3y - 15



=> x - 3y = -10 .............................(1)




Now,





After ten years the age of Nuri = x + 10 years




And, after ten years the age of Sonu = y + 10 years





according to the question




The age of Nuri = 2* The age of sonu




now, putting the above values



=> x + 10 = 2×(y + 10)



=> x + 10 = 2y + 20



=> x - 2y = 10...........................(2)





Now, subtracting the equation 2 from equation 1 we get,




$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x- \: 3y = - 10 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:x - 2y = 10 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline { \: \: - \: \: \: + \: \: \: \: \: - \: \: \: \: } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - y \: \: = - 20 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 20$





now, we put it value of y in given equation 1




=> x - 3 (20) = 10




=> x - 60 = 10




=> x = 50





Hence, the age of Nuri is 50 years
and the age of sonu = 20 years









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Answer 2

Here Your answer✍️

Let Nuri age Five years Ago=3x years
Let Sonu Age Five years ago=x years

Nuri Present age =(3x+5) years
Sonu Present age=(x+5) years

In question saying 10 years later from past 5 years
MEANS we have to add 5 to make it 10

Age after 10 years

Now Nuri age Now after five years=(3x+5+5) years
Now Sonu age now after five years=(X+5+5) years

A/Q
Nuri will twice of Sonu

Equation=2(x+5+5)=3x+10

Why We take twice in sonu age because We are Solving with Linear Equation in which Both sides are Equal.

2(x+5+5)=3x+5+5
2(x+10)=3x+10
2x+20=3x+10
2x-3x=10-20
-x=-10
x=10

Now Nuri Present Age=3x+5
=3×10+5
=35 years

Now sonu Present age=x+
=10+5
=15 Years

Nuri Present Age➡️35 years
Sonu Present Age➡️15 years