Question

Priya is 3 years older than Sara. Six years ago, she was 4 times Sara's age. Find their present ages​

Answer 1

Answer:

Sara is 7 years old and Priya is 10 years old.

Step-by-step explanation:

Given :

Priya = 3 years older than Sara

Six years ago = Priya was 4 times as old as Sara

To find :

Their present ages

Solution :

Let the present ages be -

• Sara as x
• Priya as (x + 3)

Six years ago -

• Sara = (x - 6)
• Priya = (x + 3) - 6

$\rule{300}{1.5}$

According to the Question -

Six years ago = Priya was 4 times as old as Sara

$\sf{\longrightarrow} \: (x + 3) - 6 = 4(x - 6) \\ \\ \sf{\longrightarrow} \:x - 3 = 4x - 24 \\ \\ \sf{\longrightarrow} \:4x - x = 24 - 3 \\ \\ \sf{\longrightarrow} \:3x = 21 \\ \\ \sf{\longrightarrow} \:x = \dfrac{21}{3} \\ \\ \sf{\longrightarrow} \:x = 7$

Sara is presently 7 years old.

$\rule{300}{1.5}$

★ Value of (x + 3)

$\sf{\longrightarrow} \:7 + 3 \\ \sf{\longrightarrow} \:10$

Priya is presently 10 years old.

$\therefore$ Sara is 7 years old and Priya is 10 years old.

Answer 2

$\huge\bf{Solution\: is\: attached\:here.}$