Math, asked by AtikaAsad, 4 months ago

please tell quickly with explanation ​

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Answered by nithyasree2727
2

Answer:

Answer is ( a) options

20 years.

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Answered by AssasianCreed
3

Question :-

  • The present age of sahil 's mother is three times the present age of sahil 's. After 5 years their ages will add to 66 years. Find sahil 's present ages.

Answer :-

  • Present age of Sahil 's = 14 years

Solution :-

  • Let present age of sahil = x years

  • Let present age of Sahil 's mother = y years

We are given,

The present age of sahil's mother is three times the present age of sahil.

So ,

\tt y = 3x .......eq (1)

After 5 years their ages added to 66 years.

Therefore ,

After 5 years Sahil age = x + 5

After 5 years Sahil 's mother age = y + 5

Now ,

\implies\tt x+5+y+5=66

\implies\tt x+y+10=66

\implies\tt x+y=66-10

\implies\tt x+y=56 .....eq (2)

From eq 1st and 2nd

\implies\tt x+3x=56

\implies\tt 4x = 56

\implies\tt x = \dfrac{ \cancel{56}}{ \cancel4}

\implies\tt x=14 years

Put x = 14 in eq 1st

\implies\tt y=3x

\implies\tt y =3×14

\implies\tt y= 42years

\therefore Present age of Sahil = 14 years

\therefore Present age of sahil's mother = 42 years

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