• Math

  Linear Equations

  Posted by Nayani on June 22, 2023 at 4:46 pm

  Five years ago, A was thrice as old as B. After ten years, A will be twice as old as B. What is the present ages A and B?

  Budhaditya replied 1 year, 10 months ago 2 Members · 1 Reply

  • @age sum
• 1 Reply

• 

  Budhaditya

  Member

  June 22, 2023 at 5:00 pm

  Let the present age of A be “x” years and B be “y” years.

  A. T. P

  x-5= 3(y-5)…. 1

  x+10= 2(y+10)….. 2

  x-5= 3y-15…. From 1

  x-3y= -10…….3

  x+10= 2y+20……. From 2

  x-2y= 10…. 4

  On solving eq. 3 and 4, we get

  x= 50

  y=20

  Therefore, the present age of A is 50 years and B is 20 years.

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