Question

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 :

A) 19
B) 29
C) 39
D) 49

Answer 1

Answer:

B) 29

Step-by-step explanation:

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Answer 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:-

$\\ \colon\implies{\sf{ (x+9+10)=2(x−10)}} \\ \\ \\ \colon\implies{\sf{ x + 19 = 2x - 20 }} \\ \\ \\ \colon\implies{\sf{ 19 + 20 = 2x - x }} \\ \\ \\ \colon\implies{\sf{ x = 39 \ years}}$

Hence,

$\\ {\underline{\sf{ The \ present \ age \ of \ B \ is \ 39 \ years. }}} \bigstar$