Question

Kalyan's present age is one-third his mother's present age.If the mother's age was five times his age 6 years ago,
what are their present ages?
don't spam on this question ❌❌❌​

Answer 1

$\bf{\Huge{\underline{\boxed{\bf{AnSwer \:-:}}}}}$

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•Kalyan’s mother present age is 36 yrs

•Kalyan’s present age is 12 yrs

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_______________________________

Given ,

•Kalyan’s present age is in one - third of

his mother’s present age.

•If the mother's age was five times his

age 6 years ago.

To find ,

Kalyan’s and Kalyan’s mother present

ages.

_______________________________

Explanation-:

Let the age of Kalyan’s mother be

-: a yrs

Then ,

Kalyan’s age will be -: 1/3 x A yrs

Now ,

• Six years ago -:

Kalyan ‘s mother age is -: (a - 6 ) yrs

Kalyan’s age -: (1/3 x A - 6 )yrs

Now ,

According to the question,

(A - 6) = 5(1/3 x a- 6)

(A -6) = 5 (a - 18/3)

(A - 6) = (5a - 90/3)

3(A - 6 ) = (5a - 90)

3a - 18 = 5a - 90

3a - 5a = -90 + 18

- 2a = -72

A = -72 / - 2 [ “— sign” will be eliminated]

A = 72 / 2

A = 36

Hence ,

Kalyan’s mother present age -: a

A = 36 yrs

Kalyan’s age -: 1/3 x a

1/3 x 36

= 12 yrs

_______________________________

•Kalyan’s mother present age is 36 yrs

•Kalyan’s present age is 12 yrs

______________________________

Answer 2

Answer:

$\huge\mathfrak\red{Solution}$

✧Kalyan’s mother present age is 36 yrs

✧Kalyan’s present age is 12 yrs

Given ,

•Kalyan’s present age is in one - third of

his mother’s present age.

•If the mother's age was five times his

age 6 years ago.

To find ,

Kalyan’s and Kalyan’s mother present

ages.

❥Explanation-:

Let the age of Kalyan’s mother be

-: a yrs

Then ,

Kalyan’s age will be -: 1/3 x A yrs

Now ,

• Six years ago -:

Kalyan ‘s mother age is -: (a - 6 ) yrs

Kalyan’s age -: (1/3 x A - 6 )yrs

Now ,

According to the question,

(A - 6) = 5(1/3 x a- 6)

(A -6) = 5 (a - 18/3)

(A - 6) = (5a - 90/3)

3(A - 6 ) = (5a - 90)

3a - 18 = 5a - 90

3a - 5a = -90 + 18

- 2a = -72

A = -72 / - 2 [ “— sign” will be eliminated]

A = 72 / 2

A = 36

Hence ,

Kalyan’s mother present age -: a

A = 36 yrs

Kalyan’s age -: 1/3 x a

1/3 x 36

= 12 yrs

•Kalyan’s mother present age is 36 yrs

•Kalyan’s present age is 12 yrs