Question

1
Sum of present age of manish and Tanvi
is 31. manish age three years ago was 4 times age
of tanvi.find there present age
​

Answer 1

Let the present age of manish =x & Tanvi=y

x+y=31−(i)

x−3=4(y−3)−(ii)

⇒x−3=4y−12

⇒x=4y−9

Putting in (i) , we get

5y−9=31

⇒5y=40⇒y=8

⇒x=31−8⇒x=23

⇒ Present age of manish=23years

⇒ Present age of Tanvi=8 years

Answer 2

Answer:

Present age of Manish is 23 years and Tanvi is 8 years.

Step-by-step explanation:

Given :

• Sum of present ages of Manish and Tanvi is 31.
• Manish age three years ago was 4 times age of Tanvi.

To find :

Their present ages.

Solution :-

Let the present ages of Manish and Tanvi be x years and y years.

ATP :

• x + y = 31 - i)

Their ages 3 years ago (past) :

• x - 3
• y - 3

ATP :

• x - 3 = 4(y - 3)
• x - 3 = 4y - 12
• x = 4y - 12 + 3
• x = 4y - 9
• x - 4y = -9 - ii)

From i) and ii) :

• x + y = 31
• x - 4y = -9

       -   +       +

• 5y = 40
• y = 40/5
• y = 8

Substitute y = 8 in i)

• x + y = 31
• x + 8 = 31
• x = 31 - 8
• x = 23

∴ Present age of Manish is 23 years and Tanvi is 8 years.