CAT 2019 Surds and Indices Question (Hard)

Question

Question If and , then equals TITA

Accepted Answer

We are given the equations 1. Equation 1 2. Equation 2 We are to find x y . --- Step 1 Express Everything in Terms of and Rewrite Equation 2 5 x-1 3 y 1 5 3 cdot 3 y 9686 Multiply entire equation by 5 to eliminate denominator 5 x 15 cdot 3 y 48430 Now you have Equation 1 New Equation 2 --- Step 2 Su

CAT 2019

Quantitative

Surds and Indices

Hard

Question:

If $5^x - 3^y = 13438$ and $5^{x-1} + 3^{y+1} = 9686$ , then $x+y$ equals [TITA]

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