Question

plz do it...............​

Answer 1

let shikha's present age be 'a' years

ATQ

(a-5)(a+8) = 30

=> a² +3a -40 = 30

=> a² +3a -70=0

=> a²+10a-7a-70=0

=> a (a+10)-7(a+10)=0

=> (a-7)(a+10)=0

=> a=7 years or a = -10 years

Hence, Shikha's present age is 7 years

Answer 2

Answer: 7 years.

Step by step explanation:

Given: The product of Shikha's age five years ago and her age 8 years later, is 30.

Let present age of Shikha be x years.

Thus, Her age 5 years ago was (x- 5) years

And her age 8 years later will be (x + 8) years

To find: Her present age

As per your question,

(x - 5) × (x + 8) = 30

=> x² + 8x - 5x - 40 = 30

=> x² + 8x - 5x - 40 - 30 = 0

=> x² + 3x - 70 = 0

=> x² + 10x - 7x - 70 = 0

=> x(x + 10) - 7(x + 10) = 0

=> (x + 10) )x - 7) = 0

.°. x + 10 = 0 or x - 7 = 0

=> x = - 10 or x = 7

Hence, as we know,

Age cannot be negative. So, x = 7

So, Shikha's present age = 7 years.