Question

Lauren is 3 less than twice Andrew's age. 4 years from now, sam will be 2 more than twice Andrew's age. 5 years ago, sam was three times Andrew's age. how old was Lauren 5 years ago?​

Answer 1

Let , L be the current age of Lauren , A be the current age of Andrew and S be the current age of Sam

L = 2A-3 - equation 1

Also,

S+4 = 2+2(A+4)

S+4 = 2A +10

S = 2A+6 - equation 2

S-5 = 3(A-5)

S = 3A -3(5) +5

S = 3A -2(5)

S = 3A-10- equation 3

Now, Comparing equation 2 and 3

3A-10 = 2A +6

A = 16

Putting value of A in equation 1 we get

L = 2(16)-3

L = 29 years old