Difference of age of sohrab and his dad is 30 years. If the difference of the squares of their ages is 1560.
Find their ages.
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Answered by
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let the age of sohrab = x
and the age of his father = x+30
(x+30)² - x²=1560
x² + 900 + 60x - x² = 1560
x² will cancel out
900 + 60x = 1560
60x = 1560 - 900
60x = 660
x = 660/60
x = 66/6
x = 11
age of sohrab = 11
age of his father = 11+30 = 41
and the age of his father = x+30
(x+30)² - x²=1560
x² + 900 + 60x - x² = 1560
x² will cancel out
900 + 60x = 1560
60x = 1560 - 900
60x = 660
x = 660/60
x = 66/6
x = 11
age of sohrab = 11
age of his father = 11+30 = 41
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