SOLUTION: lauren is 3 years older than four times kates age the sum of there age is 58.

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Question 1177429: lauren is 3 years older than four times kates age the sum of there age is 58.
Answer by MathLover1(20850) About Me  (Show Source):
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let Lauren's age be L and Kate's age K
if Lauren is 3+years older than four times Kate, we have
L=4K%2B3 .........eq.1

if the sum of there age is 58, we have
L%2BK=58 .........eq.2...............substitute L from eq.1
4K%2B3%2BK=58
5K=58-3
5K=55
K=11


go to

L=4K%2B3 .........eq.1, substitute K
L=4%2A11%2B3
L=47

so, Lauren is 47 and Kate is 11 years old