Question

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?

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Answer 1

Answer:

9 years

Step-by-step explanation:

Given,

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

Let Sumedha's age be x

then,

Parul's age = 4x - 4 (where x is Sumendha's age)

We know that the sum of their ages are 66

so,

4x - 4 + x  = 66

=> 5x - 4 = 66

=> 5x = 66 + 4 = 70

=> x = $\frac{70}{5}$

x = 14

Sumedha's current age = 14

Then,

Sumedha's age 5 years ago = 14 - 5 = 9 years

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Answer 2

Answer:

Samedha's age before 5 years = 9 years

Step-by-step explanation:

let Parul's age be x

let Sumedha's age be y

x = 4y - 4. •••••••• (1)

x + y = 66 •••••••••(2)

putting value of x from (1) into (2)

4y - 4 + y = 66

5y = 66 + 4

5y = 70

y = 14

x = y - 4

x = 14 - 4

x = 10

so, Parul's age is 10 years

Samedha's age is 14 years

Samedha's age before 5 years = 14 - 5

Samedha's age before 5 years = 9 years