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?
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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
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