Question

Suresh is three years older than amita. six years ago Suresh was four times the Amita. Find their present ages.
Please elaborate and explain.​

Answer 1

Working out:

In this question, we need to consider the ages be any of the variable to frame equations according to the conditions given in the question.

GiveN:

• Suresh is three years old than amrita
• Six years ago, Suresh was four times the age of Amrita that time.

And we need to find the present ages of Suresh and Amrita.

Let,

• Age of Amrita be x
• Age of Suresh be y

According to condition-1)

⇛ Age of Suresh = Age of Amrita + 3

⇛ y = x + 3 -------equation (1)

According to condition-2)

⇛ Age of Suresh 6 years ago = 4(Age of Amrita six years ago)

• Age of Suresh 6 years ago = y - 6
• Age of Amrita 6 years ago = x - 6

Then,

⇛ y - 6 = 4(x - 6)

⇛ y - 6 = 4x - 24

⇛ y = 4x - 24 + 6

⇛ y = 4x - 18 -------equation (2)

Now we will see equation (1), y = x + 3 and in equation (2), y = 4x - 18. So we can say that,

⇛ x + 3 = 4x - 18

⇛ x - 4x = -18 - 3

⇛ -3x = -21

⇛ x = 7

Then y = 7 + 3 = 10

So, the age of Suresh and Amrita respectively are:

$\large{ \boxed{ \bf{ \red{10 \: \: and \: \: 7}}}}$

And we are done !!

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Answer 2

_________

Answer-

_________

suresh present age = 10 years.

Amita present age = 7 years.

_________

Given:-

_________

suresh. age is three years older than

his brother.

Six years ago, suresh age was four

times the age of Amita

_________

To find:-

_________

Their present age.

_________

Solution:-

_________

Let the present age of suresh be x and

his brother be y years.

A/Q

suresh is 3 years older than his

brother.= y +3

SIX years ago,

_________

suresh age was = (x - 6)

Amita age was = (y - 6)

suresh age is 4 times the age of

Amita

- (-6)= 4(y -6)

-6= 4y - 24

- 4y=-24 +6

-t - 4y = -18

Put the value of x.

________

-yt3-4y= -18

-3y +3=-18

-3y-18 -3

-3y= -21

-y=-3

y=7

hence,

_________

The present age of suresh is 7 years.

Age of Amita is:-

_________

-X =y +3

X = 7 +3

X = 10

hence,

∆__________________∆

~The present age of Suresh is 10 years.

∆________________________∆