## Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam now?

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## Answers ( )

Answer:age of Sam= 15 yearsage of Nina = 25 yearsStep-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

__________________________________________________________

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

_______________________________________

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 yearsage of Nina = 25 yearsAnswer:Nina’s 25 and Sam’s 15

Step-by-step explanation: