jeff is 10 years old and is brother is 2 years old. in how many years will jeff be twice as old as his brother ?

Sagot :

Let the year Jeff will be twice as old as his brother be  x

In x years, their ages are:
Jeff: 10 + x
Jeff's brother: 2 + x

In x years, Jeff's age will be twice as his brother's age:

10 + x = 2(2+x)
10 + x = 4 + 2x
2x-x = 10 - 4

x = 6 years

Their ages in 6 years:

Jeff: 10 + x = 10 + 6 = 16 years old
Jeff's brother: 
2 + x = 2 + 6 = 8 years old