The sum of age of 3 persons is 66 years. Five years ago the ratio was 4 6 7. Find their present age
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Define their age 5 years ago:
Ratio = 4 : 6 : 7
Let x be the constant ratio
Ratio = 4x : 6x : 7x
Define their current age:
Person 1 = 4x + 5
Person 2 = 6x + 5
Person 3 = 7x + 5
Solve x:
Sum of their age is 66
(4x + 5) + (6x + 5) + (7x + 5) = 66
4x + 5 + 6x + 5 + 7x + 5 = 66
17x + 15 = 66
17x = 66 - 15
17x = 51
x = 3
Find their present age:
Person 1 = 4x + 5 = 4(3) + 5 = 17 years old
Person 2 = 6x + 5 = 6(3) + 5 = 23 years old
Person 3 = 7x + 5 = 7(3) + 5 = 26 years old
Answer: They are 17, 23 and 26 years old
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