Answer:
age of Sam= 15 years
age of Nina = 25 years
Step-by-step explanation:
Let Nina's age be X years
Let Sam's age be Y years
Five years ago Nina's age will be X- 5 years
Five years ago Sam's age will be Y- 5 years
Given in question
Five years ago, Nina was twice as old as Sam
writing it mathematically using X and Y we have
Nina's age = 2 * Sam's age
X- 5 = 2 *(Y- 5)
X = 2 *(Y- 5) + 5 = 2Y - 10 + 5 = 2Y - 5 _________________equation A
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Five years in future Nina's age will be X+ 5 years
Five years ago Sam's age will be Y+ 5 years
Given in question
In five years, she will be 1.5 times as old as Sam
writing it mathematically using X and Y we have
Nina's age = 1.5 * Sam's age
X+5 = 1.5 *(Y+ 5)
X = 1.5*(Y+5) -5 = 1.5Y +7.5 - 5 = 1.5Y +2.5 _________________equation B
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in equation A we have X = 2Y - 5
in equation B we have X = 1.5Y + 2.5
equating equation A and B we have
2Y - 5 = 1.5Y +2.5
=> 2Y - 1.5Y = 2.5 + 5
=> 0.5Y = 7.5
=> Y = 7.5/0.5 = 15
from equation A we have
X = 2Y - 5 (substituting the value of Y = 15 in equation we have)
X = 2*15 - 5 = 25
Therefore age of Sam= 15 years
age of Nina = 25 years
