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Age Problems
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The sum of the ages of X and Y is 45 years, the sum of the ages of Y and Z is 55 years. And the sum of the ages of X and Z is 65 years. What is the age of Y in years?
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A
17.5
💡 Explanation:
X + Y = 45 (1)
Y + Z = 55 (2)
X + Z = 65 (3)
(X + Z) – (X + Y) = 65 – 45 [Equation(2) – (1)]
= Z – Y = 20 (4)
(Z – Y) + (Z + Y) = 20 + 55 [Equation(4) + (2)]
= 2Z = 75
= Z = 37.5
Y + 37.5 = 55 (Substituting the value of Z in equation 2)
= Y = 17.5