In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is :

2 thoughts on “In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is :<br /><br />”

1. Answer:

   B) 29

   Step-by-step explanation:

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2. Given

   • In 10 years, A will be twice as old as B was 10 years ago.
   • A is now 9 years older than B.

   Explanation

   Let the present age of B be x years and present age of A be (x+9) years.

   ✮After 10 years,

   • Age of A = (x + 9 + 10) years

   ✮Before 10 years,

   • Age of B be = (x − 10) years

   ✮Now, We’ve to compare the both equations to find the desired results as:-

   [tex] \\ \colon\implies{\sf{ (x+9+10)=2(x−10)}} \\ \\ \\ \colon\implies{\sf{ x + 19 = 2x – 20 }} \\ \\ \\ \colon\implies{\sf{ 19 + 20 = 2x – x }} \\ \\ \\ \colon\implies{\sf{ x = 39 \ years}} \\ [/tex]

   Hence,

   [tex] \\ {\underline{\sf{ The \ present \ age \ of \ B \ is \ 39 \ years. }}} \bigstar \\ [/tex]

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