Question

plz solve any one que step by step ​

Answer 1

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 his present age,

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

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

According to the question,

{ c } { ( x - 2 ) \times ( x + 3 ) = 84 } \\\\ { ( x - 2 ) ( x + 3 ) = 84 } \\\\ { x ^ { 2 } + 3 x - 2 x - 6 = 84 } \\\\ { x ^ { 2 } + x - 6 = 84 }\ { x ^ { 2 } + x - 90 = 0 }

(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

{ c } { x ^ { 2 } + 10 x - 9 x - 90 = 0 } { x ( x + 10 ) - 9 ( x + 10 ) = 0 } { ( x - 9 ) ( x + 10 ) = 0 } { x = 9 , x = - 10 }

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.

Answer 2

Answer:

1) since it is a rectangle

2y = x +4

x = 2y-4

4x - y = 2x +y +8

8y - 16 - y = 4y - 8 + y + 8

y = 4

x = 4 therefore it is a sq. since all side are equal

perimeter = 2(l+b) = 16

question 2) let the current age of ajay be x

x-2(x+3) = 84

x^2 +3x -2x -6 = 84

x^2 + x-90 =0

x^2 + 10x - 9x -90 = 0

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

x=10 or 9