Math, asked by srirohithkiran48, 1 month ago

the present of shushil mother in three times the present age of shushil after 5 years their age there will add 66years find the present age of shushil​

Answers

Answered by ShírIey
98

AnswEr :

Let's Consider, the present age of Sushil be M years & Sushil's mother be N years respectively.

F i r s tC o n d i t i o n :

  • The Present age of Sushil's Mother is three times the present age of Sushil's Mother.

:\implies\sf Mother = Sushil \times 3\\\\

:\implies\sf N = 3M\qquad\qquad\quad\sf\bigg\lgroup eq^{n}\;(1)\bigg\rgroup\\

» After five years, their ages —

  • Sushil's age = (M + 5)
  • Mother's age = (N + 5)

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━

S e c o n d⠀C o n d i t i o n :

  • After five years, their age (Mother's age and Sushil's age) will add upto 66 years.

\longrightarrow\sf M + 5 + N + 5 = 66\\\\

\longrightarrow\sf M + N + 10 = 66 \\\\

\longrightarrow\sf M + N = 66 - 10\\\\

\longrightarrow\sf M + N = 56\qquad\qquad\quad\sf\bigg\lgroup eq^{n}\;(2)\bigg\rgroup\\

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━

✇ Substituting the Value of 'N' from eqⁿ ( 1 ) into eqⁿ ( 2 ) we get —

\dashrightarrow\sf M + N = 56\\\\

\dashrightarrow\sf M + 3M = 56 \\\\

\dashrightarrow\sf 4M = 56 \\\\

\dashrightarrow\sf M = \cancel\dfrac{56}{4}\\\\

\dashrightarrow{\pmb{\sf{M = 14}}}\\

Therefore,

  • Present age of Sushil = 14 years.
  • Present age of Sushil's mother = 3M = 3(14) = 52 years.

Hence, the present age of Sushil and mother is 14 years and 52 years respectively.

Answered by Itzheartcracer
70

Given :-

The present of shushil mother in three times the present age of shushil after 5 years their age there will add 66 years

To Find :-

Present age of Shusil

Solution :-

Let us assume that the present age of Shushil is x and age of his mother will be 3x

After 5 years

Age of Sushil = x + 5

Age of his mother = 3x + 5

\sf\dashrightarrow x+5+3x+5 = 66

\sf\dashrightarrow (x+3x)+(5+5)=66

\sf\dashrightarrow 4x+10=66

\sf\dashrightarrow 4x = 66-10

\sf\dashrightarrow 4x=56

\sf\dashrightarrow x=\dfrac{56}{4}

\sf\dashrightarrow x = 14

Therefore

Age of Sushil = x = 14 years

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