SOLUTION: Carlos is 3 years older than Juan. Jose is 4 years younger than Juan. The sum of their 3 ages is 140. How old is Juan?

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Question 1134753: Carlos is 3 years older than Juan. Jose is 4 years younger than Juan. The sum
of their 3 ages is 140. How old is Juan?
Found 3 solutions by ikleyn, MathLover1, AnlytcPhil:
Answer by ikleyn(52790)   (Show Source):
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.

Carlos + Juan + Jose = 140 (Juan + 3) + Juan + (Juan-4) = 140 3*Juan + 3 - 4 = 140 3*Juan - 1 = 140 3*Juan = 140 + 1 = 141 Juan = 141/3 = 47. ANSWER

Solved.

Answer by MathLover1(20850)   (Show Source):
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Carlos is years older than Juan.

.....eq.1
Jose is years younger than Juan.
.........eq.2

The sum of their ages is .
.........substitute and from eq.1 and eq.2

-> your answer is: Juan is years old

check the sum:

Answer by AnlytcPhil(1806)   (Show Source):
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Carlos is 3 years older than Juan. Jose is 4 years younger than Juan. The
sum of their 3 ages is 140. How old is Juan?

Jose is the youngest, Juan the next youngest and Carlos is the oldest. Carlos is 3 years older than Juan and Jose is 4 years younger than Juan. So Let x = Juan's age Then Carlos's age is 3 years more than Juan's age, or x+3 and Jose's age is 4 years less than Jose's age, or x-4 Since the sum of their ages is 140, x + x+3 + x-4 = 140 You finish. Edwin