Question

(1)
(2)
3. Parul's age is 4 years less than four times the Sumedha's age. Sum of their
ages is 66 years. What was Sumedha's age before five years?
(1) 19 years
(2) 14 years
(3) 47 years
(4) 9 years​

Answer 1

Answer:

9

Step-by-step explanation:

let parul = p

let sumeda as = s

According to question

p + 4 =4s

p-4s=-4 ------eqn(1)

know other equation

p+s=66-----eqn(2)

now sub equation (1) to (2)

p-4s=-4

p+s= 66

after elimination (p)

-5s =-70

s=14

before 5 year

s-5= 9

hence Sumedha age 9 year before 5 year.

THANK YOU

Answer 2

Given:

Parul's age is 4 years less than four times the age of Sumedha.

The sum of their ages is 66.

To Find:

The age of Sumedha before 5 years.

Solution:

➡ Let Sumedha's current age be x.

➡ It is given that Parul's age is 4 less that 4 times the age of Sumedha.

Forming an equation from these information:

Parul's age = 4x - 4

Now, it is given that the sum of their ages is 66. Forming an equation:

$\sf{\longrightarrow\:x+4x-4=66}$

$\sf{\longrightarrow\:5x-4=66}$

$\sf{\longrightarrow\:5x=66+4}$

$\sf{\longrightarrow\:5x=70}$

$\sf{\longrightarrow\:x=\dfrac{70}{5}}$

$\bf{\implies\:x=14\:years}$

This means that the current age of Sumedha is 14.

We now need to find the age of Sumedha before 5 years.

Previous age = Current age - 5

Previous age = 14 - 5

Previous age = 9 years

Hence the required correct option is Option 4: 9 years.

⇒ 4️⃣ 9 years ✔