Question
The ratio of two numbers βMβ and βNβ is 8:5,
respectively. If 14 is subtracted from each of βMβ and βNβ, then the ratio of βMβ and βNβ becomes 3:1. The sum of βMβ and βNβ is:Solution
Let the two numbers βMβ and βNβ be β8xβ and β5xβ, respectively ATQ; (8x - 14)/(5x - 14) = 3/1 Or, 8x - 14 = 15x - 42 Or, 7x = 28 Or, x = 4 Now, sum of βMβ and βNβ = 8 Γ 4 + 5 Γ 4 = 52
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