CAT 2021 Number System Question (Hard)

Question

For a 4-digit number, the sum of its digits in the thousands, hundreds and tens places is 14, the sum of its digits in the hundreds, tens and units places is 15, and the tens place digit is 4 more than the units place digit. Then the highest possible 4-digit number satisfying the above conditions is

Accepted Answer

Let s solve this step-by-step. --- Let the 4-digit number be ABCD where digit in thousands place digit in hundreds place digit in tens place digit in units place --- Given Conditions 1. Equation 1 2. Equation 2 3. Equation 3 --- Step 1 Substitute into Equations From Equation 2 B D 4 D 15 B 2D 4 15 B

CAT 2021

Quantitative

Number System

Hard

For a 4-digit number, the sum of its digits in the thousands, hundreds and tens places is 14, the sum of its digits in the hundreds, tens and units places is 15, and the tens place digit is 4 more than the units place digit. Then the highest possible 4-digit number satisfying the above conditions is

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