Raju’s mother is four times as old as Raju. After 5 years , her mother will be three times as old as she will be then. Find their present ages?

Mother: 40 years old

Rakhi: 15 years old

Step-by-step explanation:

Solution :

Let present age of Rakhi = x years

Present age of Mother = 4x

5 years later

Age of Rakhi =x+5

Ag of Mother =4x+5

Given 4x+5=3(x+5)

4x−3x=15−5

⇒x=10

Mother's age =4x=40 years

Plug 10 in for x to find Rakhis age

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

3/20

step-by-step explanation:

well, there are 20 outcomes, and 3 of them you want. so, 3/20