Question

Arun's age after six years will be the square of his age six years ago. current age?​

Answer 1

Answer:

10 yrs

Step-by-step explanation:

Let present age be 'x' years.

after six years, Age=(x+6) years

six years ago, Age=(x-6) years

According to the question,

${(x - 6)}^{2} = x + 6 \\ {x}^{2} - 12x + 36 = x + 6 \\ {x}^{2} - 13x + 30 = 0 \\ (x - 3)(x - 10) = 0 \\ x = 3 \: or \: x = 10$

But x cannot be 3 years because we should consider even six years ago.

hence, Arun's present age is 10 years.

Thank you

Answer 2

Answer:

$let \: arjun \: current \: age \: be \: x \\ age \: after \: 6 \: years = x + 6 \\ age \: before \: 6 \: years = x - 6 \\ given \\ x + 6 = {(x - 6)}^{2} \\ by \: using \: formule \\ {(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab \\ x + 6 = {x}^{2} + {6}^{2} - 2(6x) \\ = > x + 6 = {x}^{2} + {6}^{2} - 12x \\ = > x + 6 = {x}^{2} + 36 - 12x \\ = > x + 12x = {x}^{2} + 36 - 6 \\ = > 13x = {x}^{2} + 30 \\ friend \: sorry \: i \: am \: not \: able \: to \\ \: solve \: it \: further.$

$hope \: it \: helps \: you. \\ please \: mark \: as \: brainliest...$