Question

Let the smaller number be x. Then,

Square of larger number = 18x

Square of the smaller number = x2


Therefore,

x2+18x=208


x2+18x−208=0


(x+26)(x−8)=0


x=8,−26


But, the numbers are positive.

So, x=8


Hence, the numbers are 8 and 12.
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Answer 1

Answer:

We have,

Let the large number is =x

Square of smaller number is =8x

Now, According to given question,

x

2

−8x=180

⇒x

2

−8x−180=0

⇒x

2

−(18−10)x−180=0

⇒x

2

−18x+10x−180=0

⇒x(x−18)+10(x−18)=0

⇒(x−18)(x+10)=0

⇒x−18=0,x+10=0

⇒x=18,x=−10

⇒x=−10,18

Either

x=−10 and x=18

x=18 is true (Positive value)

Now, square of small number

=18x=18×8=144

144

=12

Hence, this is the answer.

Answer 2

Answer:

Economic development and improvement in quality of life improve life expectancy and changes the structures of the population. High infant mortality rate and material mortality rate due to poor economic growth hence an adverse effect of age structure on the population.