A number n when divided by 14 gives a remainder 5. What is the remainder when the same number is divided by 7 ?
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Step-by-step explanation:
let the number be x
Since dividing the number give remainder 5 , x can be written in 14×y+5
- where y will be quotient of dividing X by 14
- X = 14×y+5
- X = 2×7×y+5
- Let divide both side by 7 then remainder when x is divide by 7
- X/7 = (2×7×y)/7+5/7
- x/7 = 2×y+5/7
- Since y is a whole number quotient of thus 2×y will be also be a whole number and remain 5/7
- thus remainder 5 when x is divide by 7
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Answered by
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Answer:
Every no. When divided by 14 gives remainder 15 then when divided by 7 also the remainder will be 5 always.
Because 14 is a multiple of 7.
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