Question

Harshitha's age is 7x. Her grandmother is
56 years older than her. The sum of their
ages is 84. Find their present ages.


plz give me the solution for this​

Answer 1

Answer:

Harshitha's age = 14 years

Grandmother's age = 70 years

Step by Step Explanation:

Given that,

Harshitha's age = 7x

Grandmother's age = 56 years older than Harshitha

∴ Grandmother's age = ( 7x + 56 )

Sum of their ages is 84

Writing the given statement in terms of mathematical equations, we get:

→ 7x + ( 7x + 56 ) = 84

→ 14x + 56 = 84

→ 14x = 84 - 56

→ 14x = 28

→ x = 28/14 = 2

Hence present age of Harshitha would be:

→ 7x = 7 × 2 = 14 years.

The present age of her grandmother would be:

→ 14 + 56 = 70 years

Answer 2

Step-by-step explanation:

Given :

• Harshita =7x

• Grandma = 7x + 56

• The sum of their ages is 84.

To Find :

• Find their present ages.

Solution :

According to the Question :

The sum of their ages = 84.

7x + 7x + 56 = 84

14x + 56 = 84

14x = 84 - 56

14x = 28

x = 28 / 14

x = 2

Hence ,

Harshita = 7x

Harshita = 7 × 2

Harshita = 14 year

Grandma = 7x + 56

Grandma = 7 × 2 + 56

Grandma = 70 year

Verification :

7x + 7x + 56 = 84

7 × 2 + 7 × 2 + 56 = 84

14 + 14 + 56 = 84

28 + 56 = 84

84 = 84

Hence verified