Marc is half as old as Tony and three times as old as Ben. If the sum of their ages is 40, how old is Marc?

Marc's age is 12

Step-by-step explanation:

Let

x ----> Marc's age

y ---> Tony's age

z ---> Ben's age

we know that

the sum of their ages is 40

so

-----> equation A

Marc is half as old as Tony

so

----> equation B

Marc is three times as old as Ben

so

----> equation C

substitute equation B and equation C in equation A

solve for x

therefore

Marc's age is 12

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.