# A teacher is 15 years older than her student. In 15 year, the ratio ofbtheir ages will be 3:2. Find their ages.

2
by jerome22jj

Log in to add a comment

by jerome22jj

Log in to add a comment

X+15 is the present age of the teacher

After 15 years: (You need to add 15 to both of their ages)

student: x+15

teacher: (x+15)+15 or x+30

Note: Remember that ratio can also be expressed in the form of fraction

Equation:

x+30 3

------- = --- cross multiply

x+15 2

2x+60=3x+45 combine like terms (transpose 45 to the other side of the equation same for 2x) Note: ( If you are transferring numbers the sign will become the opposite. Thus 45 will be -45 and 2x will be -2x

New equation will be:

60-45=3x-2x

15=x

Student's age is 15

Teacher's age is 30