Question

If x and y are the two digits f the number 653xy such that this number is divisible by 80, then x+y is equal to:

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Question

If 653xy is divisible by 80 then the value of x + y is :

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4 years ago, anu

2 Answers

If a number is divisible by a number, is it always divisible by factors of that number.

Since 10 is a factor of 80, 653xy is divisible by 10. It means last digit,y =0

Rewriting 653xy as 653x0. Since 8 is a factor of 80, 653x0 is divisible by 8. It means last three digits 3x0 is divisible by 8. Hence, x is 2 or 6

if x=2, number is 65320. But this is not divisible by 80

if x=6, number is 65360 which is divisible by 80

Therefore number is 65360 with x=6 and y=0.

x+y = 6+0 = 6