Question

Practice Set 2.6 37
1. Product of Pragati's age 2 years ago and 3 years hence is 84. Find her present age.
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Answer 1

Answer:

9

Step-by-step explanation:

Given,

84 will be the product of her age before 2 years and after 3 years of her present age.

Let x be her present age,

Her age, two years ago will be (x-2)

Her age, three years hence will be (x+3)

According to the question,

(x−2)×(x+3)=84

(x−2)(x+3)=84

x

2

+3x−2x−6=84

x

2

+x−6=84

x² +x−90=0

​

x²+10x−9x−90=0

x(x+10)−9(x+10)=0

(x−9)(x+10)=0

x=9,x=−10

​

​

Hence, we cannot represent age as a negative value. The value of x will be 9 only.

Therefore, the present age of Pragati will be

Answer 2

Answer:

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