Question

the product of shika ages is 5 years ago and 8 years later is 30 find her present age​

Answer 1

Answer:

Let the present age of Shikha is = x years

So five years ago Shikha’s age was = (x – 5) years

And 8 years later Shikha’s age will be = (x + 8) years

Now according to question-

⇒ (five years ago Shikha’s age) × (8 years later Shikha’s age) = 30

⇒ (x – 5)(x + 8) = 30

⇒ x2 + 3x – 40 = 30

⇒ x2 + 3x – 70 = 0

⇒ x2 + (10 – 7)x – 70 = 0 [when constant term is negative always

break the coefficient of x in the difference form]

⇒ x2 + 10x – 7x – 70 = 0

⇒ x(x + 10) – 7(x + 10) = 0

⇒ (x + 10)(x – 7) = 0 [after factorization]

⇒ Either x + 10 = 0 or x – 7 = 0

x = -10 or x = 7

⇒ x = -10 is not valid as age can never be negative

So taking x = 7

Means present age of Shikha is 7 years.

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