Question
The ratio of two numbers βXβ and βYβ is 5:3,
respectively. If 12 is subtracted from each of βXβ and βYβ, then the ratio of βXβ and βYβ becomes 7:3. The sum of βXβ and βYβ is:Solution
Let the two numbers βXβ and βYβ be β5xβ and β3xβ, respectively ATQ; (5x - 12)/(3x - 12) = 7/3 Or, 15x - 36 = 21x - 84 Or, 6x = 48 Or, x = 8 Now, sum of βXβ and βYβ = 5 Γ 8 + 3 Γ 8 = 64
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