if an 8 digit number 30x0867y is divisible by 88 then what is the value of (3x+y)
Answers
3x + y = 5 & 30x0867y is 30108672 if an 8 digit number 30x0867y is divisible by 88
Step-by-step explanation:
an 8 digit number 30x0867y is divisible by 88
Divisible by 88 means
divisible by 8 & 11
Divisibility rule for 8
If the last three digits of a whole number are divisible by 8, then the entire number is divisible by 8
672 is divisible by 8
Hence y = 2
30x08672
Divisibility rule for 11
The Divisibility Rule of Eleven is that you must subtract and then add the digits in an alternating pattern from left to right
and resultant should be divisible by 11
3 - 0 + x - 0 + 8 - 6 + 7 - 2
= x + 10
=> x = 1
30108672 is divisible by 88
3x + y = 3 * 1 + 2 = 5
3x + y = 5
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Given: An 8 digit number 30x0867y is divisible by 88
To find : 3x+y
Solution:
- Since the denominator is 88, so it clearly indicates that the number is divisible by 11 and 8.
- Divisibility rule for 8 is if the last three digits of a number are divisible by 8, then the entire number is divisible by 8.
- Divisibility rule for 11 is that subtract and then add the digits in an alternating pattern from left to right, and resultant should be divisible by 11.
- Lets put 2 in y, we get
672
- So, 672 is divisible by 8 as 672/8 is 84.
so, y = 2
for 11,
3 - 0 + x - 0 + 8 - 6 + 7 - 2
x + 10
- Lets put x+10 = 11
x = 11-10
x = 1
- So x=1 and y = 2
30108672 is divisible by 88
- Lets put x and y in given equation, we get
3x + y
= (3 * 1) + 2
= 5
Answer:
- So the value of 3x + y is 5.