Question

Shop's mother's present age is six times shop's present age. Shop's age five years from now will be one thrift of his mother 's present a gem what are their present ages? ​

Answer 1

ANSWER:

• Present age of Shop's mother is 30

• Present age of Shop is 5.

CONSIDER:

• Let the present age of Shop's mother be x

• Let the present age of Shop be y

GIVEN:

• At present, x = 6 y

• The Shop's age after five years will be y + 5
• By data, y + 5 = x / 3

TO FIND:

• Present age of Shop's mother , x

• Present age of Shop , y

SOLUTION :

STEP 1 :

Shop's age five years from now will be one third of his mother 's present age.

So, y + 5 = x / 3

Substitute x = 6 y in the above equation.

We get,

y + 5 = ( 6y) / 3

y + 5 = 2y

2y - y = 5

y = 5

THE PRESENT AGE OF SHOP IS 5.

SHOP IS 5 YEARS OLD NOW.

STEP 2:

Substitute y = 5 in the equation x = 6y.

We get,

x = 6 × 5

x = 30

THE PRESENT AGE OF SHOP'S MOTHER IS 30.

SHOP'S MOTHER IS 30 YEARS OLD NOW.