Practice Set 2.6uct of Pragati's age 2 years ago and 3 years hence is

1.	Practice Set 2.6uct of Pragati's age 2 years ago and 3 years hence is 84. Find her present age.
Answer» Answer: present age of Pragati = 9 years Step-by-step explanation: Let at present: Pragati age = x years 2 years ago: Pragati age = (x-2) years After 3 years: Pragati age = (x+3) years according to the problem given, Product of ages = 84 => (x-2)(x+3)=84 => x(x+3)-2(x+3)=84 => x²+3x-2x-6-84=0 => x²+x-90=0 Splitting the middle term,we get => x² +10x-9x-90=0 => x(x+10)-9(x+10)=0 => (x+10)(x-9)=0 => x+10=0 Or x-9 = 0 => x = -10 Or x = 9 Now, age should not be negative. Therefore, present age of Pragati = 9 years •••♪

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

Answer»

Answer:

present age of Pragati = 9 years

Step-by-step explanation:

Let at present:

Pragati age = x years

2 years ago:

Pragati age = (x-2) years

After 3 years:

Pragati age = (x+3) years

according to the problem given,

Product of ages = 84

=> (x-2)(x+3)=84

=> x(x+3)-2(x+3)=84

=> x²+3x-2x-6-84=0

=> x²+x-90=0

Splitting the middle term,we get

=> x² +10x-9x-90=0

=> x(x+10)-9(x+10)=0

=> (x+10)(x-9)=0

=> x+10=0 Or x-9 = 0

=> x = -10 Or x = 9

Now,

age should not be negative.

Therefore,

present age of Pragati = 9 years

•••♪