Algebra Problem? Help?

that-azn-gurl

Pepe is 25 years older than his cousin Consuela. Cousin Guillermo is 3 times as old as Consuela. The sum of their ages is 90. How old are each of them? Explain how you got your answer please.

titobob

Let Consuela's age be C. Pepe's age is therefore C+25, and Guillermo's age is 3C. The equation will read C + (C+25) + 3C = 90. Combine all the C's to give 5C + 25 = 90. Subtract 25 from both sides to give 5C = 65. Divide both sides by 5 to give C = 13. Consuela is 13 years old, Pepe is 38 years old, and Guillermo is 39 years old. The sum of these is 90 (check).

biswasparajuli

suppose, consuela is x years old

so, pepe is x+25 years old

and

guillermo is x*3 times old = 3x years old

now,

if x + (x+25) + 3x = 90

it means

x + x + 25 + 3x = 90

5x +25 =90

5x = 90-25

5x = 65

x = 65/5 = 13

so, Consuela is 13 years old

Pepe is 13+25 = 38 years old

Guillermo is 3*13 = 39 years old