Lets consider SAM's age is 'x' and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.
So the Hank's age is 9 years
.
The value of x is 28 .
<h3>What is a Triangle ?</h3>
A triangle is a polygon with three sides , three angles and three vertices.
According to the Proportionality Theorem
When a line is parallel to one side and intersects the other lines at two different points then it divides both the line in similar ratio.
As in the given figure DC is parallel to AP ,
then RD : DP = RC:CA
42:15 = x: 10
42/15 = x / 10
x = 42 * 10 /15
x = 28
Therefore the value of x is 28 .
To know more about Triangle
brainly.com/question/2773823
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The first step would be to isolate a variable (solve for a variable)....so u will have something to sub into the other equation