Find an integer which leaves remainder 5 when divided by 11 and 2 when divided by 19
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Answer:
remainder= 10
Step-by-step explanation:
CONCEPT- divisor × quotient + remainder
GIVEN- remainder on dividing the number by 11= 5
FIND- remainder
SOLUTION- let the question for dividing the number by 11 be q.
number= 11× q+5
when this number is multiplied by 8 and 3 is added,
new number= 8(11q+5) +3
= 88q+ 40+3
= 88q +43
new number=( 8× 11q +33) +10 = 11× ( 8q+3)+10
on dividing this number by 11
remainder is 10
FINAL ANSWER- the remainder when given number is divided by 11 is 10
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