Question

My age is 5 more than square of age of my son. After 5 years my age will five years more than trice age if my son then my present age is

30

40

50

60

​

Answer 1

GIVEN :

• My age is 5 more than square of age of my son.
• After 5 years my age will five years more than trice age of my son.

TO FIND :

• My present age.

SOLUTION :

Let my son's present age be x years and my present age be y years.

✪ CASE 1✪

My age is 5 more than square of my son's age.

My age = (x²+5) years

According to the question,

y = x²+5............(i)

✪ CASE 2 ✪

After 5 years,

My age = (y+5) years

My son's age = (x+5) years

After 5 years my age will five years more than trice age of my son.

According to the question,

y+5 = 3(x+5)+5

† Putting y=x²+5 from eq(i) †

→ x²+5 +5= 3x+15+5

→ x² - 3x = 10

→x² -3x -10= 0

→ x ² -(5-2)x -10=0

→ x ² -5x +2x-10=0

→ x(x-5)+2(x-5) = 0

→ (x-5) (x+2) = 0

Either ,

x - 5 = 0

→ x = 5

Or,

x + 2 = 0

→ x = -2

Son's present age = 5 years.

My present age = 5² +5 = 30 years.

Therefore , my present age is 30 years.

Answer 2

$\huge \mathfrak{Answer:-}$

$\large\underline\mathrm{my \: present \: age \: is \: 30 \: years.}$

$\large\underline\mathrm{Given:-}$

• My age is 5 more than square of age of my son.
• After 5 years my age will five years more than trice age if my son.

$\large\underline\mathrm{To \: find}$

• My present age.

$\large\underline\mathrm{Solution}$

• Let my son's present age be x years and my present age y years.
• my age is 5 more than square of my son's age.

$\implies$ my age = (x² + 5).

$\large\underline\mathrm{A/Q}$

$\implies$ y + x² + 5_______(1)

$\large\underline\mathrm{After \: 5 \: year's,}$

$\implies$ my age = (y + 5) years.

$\implies$ my son's age = (x + 5) years.

$\large\underline\mathrm{After \: 5 \: years \: my \: age \: will \: five \: years \: more \: than \: twice \:age \: of \: my \: son.</p><p>}$

$\implies$ y + 5 = 3(x + 5) + 5

$\implies$putting y = x² + 5 Eq.____(1)

$\implies$ x² + 5 + 5 = 3x + 15 + 5

$\implies$ x² - 3x = 10

$\implies$ x² - 3x - 10 = 0

$\implies$ x²- (5 - 2)x - 10 = 0

$\implies$ x² - 5x + 2x - 10 = 0

$\implies$ x(x - 5) + 2(x - 5) = 0

$\implies$ (x - 5)(x + 2)

$\implies$ x + 5 = 0

$\implies$ x = 5

$\implies$ x + 2 = 0

$\implies$ x = -2

$\implies$son's present age = 5 years

$\implies$my present age = 5² + 5 = 30years

$\large\underline\mathrm{hence,}$

$\large\underline\mathrm{my \: present \: age \: is \: 30 \: years.}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$