If the 6-digit numbers x 35624 and 1257y4 are divisible by 11 and 72, respectively, then what is the value of (5x-2y)?
✓ 1. 14
X2. 12
X. 3.10
X 4. 13
Answers
Step-by-step explanation:
your answer is 1:14 please you brainlist answer.
14
Step-by-step explanation:
x 35624
As per the divisibility rule of 11, the difference of sum of the digits at odd places and sum of the digits at even places must be 0, 11, 22, 33…. etc.
=> (4+6+3)-(2+5+x)=0/11/22…
=> (13)-(7+x)=0 [since 11/22… are not possible]
=> 13-7-x=0
=> x=6
1257y4
Here we know the divisibility test of 72 that is the no. must be divisible by both 8 and 9.
Divisibility test of 8 says that last 3 digits should be divisible by 8
So here it is 7y4
As your put y = 8 we get 784 which is divisible by 8.
Divisibility of 9 is sum of all the digits in the no. Should be divisible by 9
1 + 2 + 5 + 7 + 8+ 4= 27
Which is divisible by 9
So, y = 8
5x – 2y = 5(6) – 2(8) = 30 – 16 = 14
To learn more
i)Using divisibility test of 11 check 1331 is divisible by 11 or not
https://brainly.in/question/10943359
ii) If the number '7448x24y' is divisible by 72, find the value of x - y
https://brainly.in/question/4911346