The ratio of Alex's age to Lucy's age to Megan's age based on the given parameters is; 19:57:50
How to solve algebra word problems?
Let alex age be x.
We are told that Lucy is three times as old as Alex. Thus;
Lucy's age = 3x
We are told that Lucy is 7 years older than Megan. Thus;
Megahan's age = 3x - 7
Sum of their ages is given as 126. Thus;
x + 3x + 3x - 7 = 126
7x - 7 = 126
Add 7 to both sides to get
7x = 133
Divide both sides by 7 to get;
x = 133/7
x = 19
Thus;
Alex’s age; x = 19
Lucy’s age; 3x = 3 * 19 = 57
Megan’s age = 3x - 7 = (3 * 19) - 7 = 50
Thus;
Ratio of their ages is; 19:57:50
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