# The age of Sam,Tonton and Ramon are consecutive integers. Sam is younger than Ramon but older than Tonton. Sams mother is thrice as old as Sam and 14 years years older than twice as old as Ramon.Find the age of each

2
by lanceaguilarlanz

2016-03-01T20:59:37+08:00
Sam is 16 years old.
Tonton is 15 years old.
Ramon is 17 years old.
Sam's mother is 48 years old.
• Brainly User
2016-03-01T21:21:30+08:00

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Representation:
Tonton: x
Sam: x + 1
Ramon: x + 2

Equation (Mother's age):
3 (x + 1) = 14 + 2 (x + 2)
3x + 3 = 14 + 4 + 2x
3x + 3 = 2x + 18
3x - 2x = 18 - 3
x = 15

Substitute 15 to x to find their ages:
Tonton: x = 15
Sam: 15 + 1 = 16
Ramon: 15 + 2 = 17
Mother: 3 (16)  or  2(17) + 14    =  48

Their ages are:

Tonton = 15 years old
Sam = 16 years old
Ramon = 17 years old
Mother = 48 years old