Q11) The age of a man is equal to the sum of the ages of his son and daughter. The ratio of the age of the son to that of the daughter is 5 : 4. If the age of the man is 45 years, find the ages of his son and daughter.

Step-by-step explanation:

Let the ages of son and daughter be 5x and 4x Then

By the question

The age of a man is equal to the sum of the ages of his son and daughter . So

5x + 4x = 9x

Now

it is given that

age of the man = 45

or 9x = 45

x = 45 / 9

x = 5

Finally

Age of son = 5x = 5 * 5 = 25

Age of daughter = 4x = 4 * 5 = 20

Hope it will help :)❤

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584