Question

Aaron is 5 years younger than ron 4 years later ron will be twice as old as aron find their present ages

Answer 1

let the age of Ron be x
the age of Aaron be x + 5

A/Q

2(x + 4) = x + 5 + 4

2x + 8 = x + 9

x = 1

age of Ron = 1 year

age of Aron = 6year

Answer 2

CORRECT QUESTION:

❶ Aaron is 5 years younger than Ron 4 years later, Aaron will be twice as old as Ron find their present ages.

GIVEN:

• Aaron is 5 years younger than Ron.
• 4 years later, Aaron will be twice as old as Ron.

TO FIND:

• Find their present ages ?

SOLUTION:

Let the present age of Aaron be 'x' years and Ron be 'y' years

According to question:-

✒ Aaron is 5 years younger than Ron

$\bf{\hookrightarrow x = y + 5....1)}$

✒ 4 years later Aaron will be twice as old as Ron

• Aaron's age = (x+ 4) years
• Ron's age = (y+4) years

$\rm{\dashrightarrow (x + 4) = 2(y+4) }$

$\rm{\dashrightarrow x + 4 = 2y + 8}$

$\rm{\dashrightarrow x - 2y = 8-4 }$

$\rm{\dashrightarrow x - 2y = 4 }$

Put the value of 'x' from equation 1)

$\rm{\dashrightarrow (y+5) -2y = 4 }$

$\rm{\dashrightarrow y + 5 - 2y = 4}$

$\rm{\dashrightarrow -y = 4 - 5 }$

$\rm{\dashrightarrow \cancel{-}y = \cancel{-}1}$

$\bf{\hookrightarrow y = 1}$

Put the value of 'y' in equation 1)

$\rm{\dashrightarrow x = 1 + 5}$

$\bf{\hookrightarrow x = 6}$

❝ Hence, the age of Aaron is 6 years and the age of Ron is 1 year ❞

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