Five years hence the age of jacob will be three times that of son. five years ago jacob s age was seven times that of his son. what are thier present ages .solve with the help of graph
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Step-by-step explanation:
let Jacob present age be x
let son's present age be y
five years later
Jacob age = x + 5
son's age = y + 5
five years later Jacob will be 3 times of son
x + 5 = 3(y + 5)
x + 5 = 3y + 15
x - 3y = 15 - 5
x - 3y = 10 equ (1)
five years ago
Jacob age was x - 5
son's age was y - 5
five years ago Jacob was 7 times of son's age
x - 5 = 7(y - 5)
x - 5 = 7y - 35
x - 7y = - 35 + 5
x - 7y = - 30 equ (2)
subtract (2) - (1)
x - 7y = -30
-(x - 3y = 10)
x - 7y - x + 3y = -30 - 10
- 4y = - 40
4y = 40
y = 40/4 = 10
substitute y = 10 in equ (1)
x - 3y = 10
x - 3(10) = 10
x - 30 = 10
x = 10 + 30
x = 40
therefore Jacob's present age = x = 40
son's present age = y = 10
hope you get your answer
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