CAT 2019 Ratio, Proportion and Variation Question (Hard)

Question

The product of two positive numbers is 616. If the ratio of the difference of their cubes to the cube of their difference is 157 3, then the sum of the two numbers is

Accepted Answer

Step 1 Let the two positive numbers be and , where . We are given Product Step 2 Recall the identity So, So we are given Step 3 We are also given Let s denote Then So Substitute this and into the ratio Substitute Step 4 Cross-multiply Now, try small integer values of sum of numbers and see which sat

CAT 2019

Quantitative

Ratio, Proportion and Variation

Hard

The product of two positive numbers is 616. If the ratio of the difference of their cubes to the cube of their difference is 157 : 3, then the sum of the two numbers is

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