Math, asked by nancy359, 6 hours ago

\large{\sf{\underline{\underline\pink{Question!!}}}}
Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are nuri and Sonu?​

Answers

Answered by Sugarstar6543
8

Step-by-step explanation:

Let the present age of Nuri be x years and present age of sonu be y years.

19% 0

According to given conditions,

5 years ago,

x-5= 3(y-5)

x - 3y = -10(Eqn 1)

10 year later,

x + 10 = 2(y + 10)

x - 2y = 10 .(Eqn 2)

On subtracting eqn 1 from 2,

(x-2y) - (x - 3y) = 10 + 10

-2y+3y=20

y = 20

On substituting y = 20 in eqn 2,

x = 2 x 20 + 10

x = 50

Hence present age of Nuri is 50 years and present age of Sonu is 20 years

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Answered by Itsmahi001
19

\huge\sf{\underline{\underline{\underline{\red{Solution:}}}}}

\sf{Let  \: the  \: present \:  age \:  of \:  Nuri = x \:  yrs}

\sf{And, the \:  present \:  age  \: of \:  Sonu = y  \: yrs}

Five years ago,

\sf{Age \:  of \:  Nuri = x-5 years}

\sf{Age  \: of \:  Sonu = y-5 years}

Nuri was thrice as old as Sonu.

Then,

\sf{x-5 = 3(y-5)}

\small\implies\sf{x-5 = 3y - 15}

\small\implies\sf{x-3y = -15+5}

\small\implies\sf{x-3y = -10}-----(i)

Ten years later,

\sf{Age \:  of  \: Nuri = x+10}

\sf{Age \:  of  \: Sonu = y+10}

Nuri will be twice as old as Sonu.

Then,

\sf{x+10 = 2(y+10)}

\implies\sf{x+10 = 2y+20}

\implies\sf{x-2y = 20-10}

\implies\sf{x-2y = 10}-----(ii)

Subtracting equ. (i) from (ii) we get,

\small\implies\sf{y = 20}

Plug this value in eq. (i) we get,

\sf{x-3y = -10}

\implies\sf{x-3×20 = -10}

\implies\sf{x = 60-10}

\implies\sf\fbox{\purple{x = 50}}

\sf{ Hence, Age \:  of  \: Nuri = 50 \:  years}

\sf{And  \: Age \:  of \:  Sonu = 20 \:  years}

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