Question

13.Barbara is three times as old as her son. After 14 years, Barbara
will be two times as old as her son. Find the current age of Barbara
and her son ?

Answer 1

Answer:

current age of Barbara is 42 years and her son is 14 years old

Step-by-step explanation:

B=3S

B+14=2×(S+14)

=>3S+14=2×(S+14)

=>3S-2S=28-14

=>S=14

& B=3×14=42

Answer 2

Answer:

Age of Barbara's Son = 14Years

Age of Barbara =42 Years

Step-by-step explanation:

Given :

Age of Barbara's Son = x

Age of Barbara = 3x

After 14 years Age of Barbara's = 3x + 14

Age of Barbara's son = 2(x + 14)

To Find:

Current age of Barbara's son And Barbara's

Solution:

Let the son's age now be x years.  

Then, Barbara's age now =3x years.

After 15 years, son's age =(x + 14) years

Barbara's age = (3x + 14) years

Given:  (3x+14) = 2(x+14)

⇒ 3x + 14= 2x + 28

⇒ 3x − 2x =  28 − 14

⇒ x = 14

∴ Son's age now =14 yrs. and

Barbara's age now =3 × 14 = 42 yrs.