the difference between the ages of the two persons is 10 years.Fifteen years ago, the elder one was twice as old as the younger one the present age of the elder person is
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Answers
Answered by
140
Let the present age of younger person be x
After 15 years, x - 15
Let the present age of elder person be x + 10
15 years ago it will be x + 10 - 15 => x + 5
According to the question,
x - 5 = 2(x - 15)
x - 5 = 2x - 30
x - 2x = -30 + 5
x = 25
x = 25
Younger person's age => x => 25 years
Elder person's age => x + 10 => 25 + 10 => 35 years
After 15 years, x - 15
Let the present age of elder person be x + 10
15 years ago it will be x + 10 - 15 => x + 5
According to the question,
x - 5 = 2(x - 15)
x - 5 = 2x - 30
x - 2x = -30 + 5
x = 25
x = 25
Younger person's age => x => 25 years
Elder person's age => x + 10 => 25 + 10 => 35 years
Answered by
127
Let the age of younger one be x and age of elder one be x + 10
Now
Age of younger one (15 years ago) = x - 15
Age of elder one ( 15 years ago ) = x + 10 - 15 = x - 5
According to question, elder one was twice as old as the younger one
elder = 2 × younger
x - 5 = 2(x - 15)
x - 5 = 2x - 30
30 - 5 = x
x = 25
Age of elder one = x + 10 = 25 + 10 = 35 years
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