Robin is twice as old as earl, and in 6 years he will be three times as old as adam, who is 8 years younger than earl. find their present ages.
plz asap

Adam is 4 years old

Robin is 24 years old

Earl is 12 years old

Explanation:

Assume that Earl's current age is x years

We are given that:

1- Robin is twice as old as Earl. This means that:

Robin's current age is 2x years

2- Adam is 8 years younger than Earl. This means that:

Adam's current age is x-8 years

3- In 6 years, Robin will be three times as old as Adam

In six years:

Robin's age will be 2x + 6

Adam's age will be x-8+6 = x-2

Setting the equation from the third given:

2x+6 = 3(x-2)

2x + 6 = 3x - 6

6 + 6 = 3x - 2x

x = 12

This means that:

Earl's age = x = 12 years

Robin's age = 2x = 2*12 = 24 years

Adam's age = x-8 = 12-8 = 4 years

Hope this helps :)

Robin = 60 years

Earl = 30 years

Adam = 22 years

Step-by-step explanation:

Let the ages of Robin, Earl and Adam be represented by the first letter of their names i.e. R, E and A respectively.

Robin is twice as old as Earl. In equation form we can write this as:

R = 2E

in 6 years Robin will be 3 times as old as Adam. In equation form this will be:

R + 6 = 3A

Adam is 8 years younger than Earl. In equation form this will be:

A = E - 8

We have to find the value of R, E and A from these equations.

Using the value of R from 1st equation and value of A from 3rd equation, and using them in 2nd equation, we get:

2E + 6 = 3(E - 8)

2E + 6 = 3E - 24

6 + 24 = 3E - 2E

E = 30

Using this value in 1st equation we get:

R = 2E = 2 x 30 = 60  

Using the value of E in 3rd equation, we get:

A = E - 8 = 30 - 8 = 22

So their ages are:

Robin = 60 years

Earl = 30 years

Adam = 22 years

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

geometry: triangles

solvers

lessons

answers archive

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+

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