The 10-digit number 90457416xy is divisible by 9, and x - y = 3. What

1.	The 10-digit number 90457416xy is divisible by 9, and x - y = 3. What is the value of (5x + 3y)?1. 482. 333. 294. 39
Answer» Correct Answer - Option 4 : 39 Given: 90457416xy is divisible by 9 x - y = 3 Concept Used: If sum of all digits of a number is divisible by 9 then the number should also be divisible by 9 Calculation: (9 + 0 + 4 + 5 + 7 + 4 + 1 + 6 + x + y)/9 = (36 + x + y)/9 For 10 digit number to divisible by 9 then (36 + x + y) is completely divisible by 9. ⇒ x + y = 9 Also given x - y = 3 Solving, x = 6 and y = 3 5x + 3y = 5 × 6 + 3 × 3 = 39 ∴ Required value of (5x + 3y) is 39.

The 10-digit number 90457416xy is divisible by 9, and x - y = 3. What is the value of (5x + 3y)?1. 482. 333. 294. 39

Answer» Correct Answer - Option 4 : 39

Given:

90457416xy is divisible by 9

x - y = 3

Concept Used:

If sum of all digits of a number is divisible by 9 then the number should also be divisible by 9

Calculation:

(9 + 0 + 4 + 5 + 7 + 4 + 1 + 6 + x + y)/9 = (36 + x + y)/9

For 10 digit number to divisible by 9 then (36 + x + y) is completely divisible by 9.

⇒ x + y = 9

Also given x - y = 3

Solving,

x = 6 and y = 3

5x + 3y = 5 × 6 + 3 × 3 = 39

∴ Required value of (5x + 3y) is 39.

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The 10-digit number 90457416xy is divisible by 9, and x - y = 3. What is the value of (5x + 3y)?1. 482. 333. 294. 39

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