Question
The difference between the squares of two positive
numbers is 18 times the difference between the numbers. If the smaller number is 7, then what is the greater number?Solution
Let the two numbers be ‘a’ and ‘b’ Then, according to the question; (a2 – b2) = (a – b) × 18 Also, (a2 – b2) = (a + b) × (a – b) So, (a + b) = 18 Since b = 7 So, a = 18 – 7 = 11
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