Question

10)Janvi is 18 years younger than her mother and the sum of his age is 62 years, what is the age of the mother?​

Answer 1

Answer

• The age of Janvi's mother = 40 years.

Step-by-step explanation:

To Find :-

• The age mother.

★ Solution

Given that,

• Janvi is 18 years younger than her mother.
• Sum of Janvi's age and her mother's age is 62 years.

Let us assume the age of Janvi and her mother as :-

• Age of Janvi = (x - 18) years.
• Age of her mother = x years.

Also given, Sum of their age is 62 years.

∴ (x) + (x - 18) = 62

⇒ (x) + (x - 18) = 62

⇒ x + x - 18 = 62

⇒ x + x = 62 + 18

⇒ x + x = 80

⇒ 2x = 80

⇒ x = 80/2

⇒ x = 40

The value of x is 40.

Now, The age of Janvi's mother :-

• Age of her mother = (x) = 40 years

Hence, The age of Janvi's mother is 40 years.

Answer 2

✬ The age of her mother is 40 years ✬

Step-by-step explanation:

Given: Janvi is 18 years younger than her mother and sum of their ages is 62 years.

To find: Age of her mother.

Solution:

Let the age of her mother be x years and Janvi be x - 18 years respectively.

$\\ :\implies\sf{x + (x - 18) = 62}\\ \\ :\implies\sf{2x - 18 = 62}\\ \\ :\implies\sf{2x = 62 + 18}\\ \\ :\implies\sf{2x = 80}\\ \\ :\implies\sf{x = \frac{ \cancel{80}}{ \cancel{2}}}\\ \\ :\implies \underbrace{\boxed{\mathfrak{x = 40}}} \: \blue{\bigstar}$

• ∴ Hence,The age of her mother is 40 years.