Math, asked by abhishekjhaabhishekj, 6 months ago

Aman father is five times as old as Aman after five years his father will be four times as old as his son then find their present ages in one equation​

Answers

Answered by Anonymous
4
Here is the answer for your question

Let the age of aman be x

father's age=5x

after 5 years ages become

x+5 & 5x+5

5x+5=4(x+5)

5x+5=4x+20

x=15

5x=75

the present ages of father and son are 75 and 15 years respectively
Answered by SarcasticL0ve
18

☯ Let present age of Aman be x years.

Therefore, Present age of Aman's father is 5x years. \\ \\

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━

\qquad\qquad\boxed{\bf{\mid{\overline{\underline{\purple{\bigstar\: According\: to \: the \: Question :}}}}}\mid}\\\\

After five years his father will be four times as old as his son.\\ \\

★ Ages after 5 years, \\ \\

  • Aman's age = x + 5

  • Aman's father age = 5x + 5 \\ \\

:\implies\sf 5x + 5 = 4(x + 5)\\ \\

:\implies\sf 5x + 5 = 4x + 20\\ \\

:\implies\sf 5x - 4x = 20 - 5\\ \\

:\implies{\boxed{\frak{\pink{x = 15}}}}\;\bigstar\\ \\

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━

Therefore, Their present age is,\\ \\

  • Present age of Aman, x = 15 years

  • Present age of his father, 5x = 15 × 5 = 75 years. \\ \\

\therefore\;{\underline{\sf{Hence,\; Present\;age\;of\;father\;and\;his\;son\;is\;75\;years\;and\;15\;years\; respectively.}}}

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