Question

there are two distinct positive integer when the larger number is divided by 5 we get smaller number as quotient and remainder is 4. also larger number exceeds smaller number by 28. find the numbers ( USE EUCLID LEMMA TO FIND FIRST EQUATION)

plz ans it step by step

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Answer 1

Step-by-step explanation:

lET SMALLER NUMBER BE =Q

LET LARGER NUMBER BE =Y

A.T.Q

Q=Y-28 , OR Y=Q+28

USING FORMULA

DIVIDENT =DIVISOR *QUITENT+REMAINDER

Y =5XQ+4

NOW PUT Y =X+28IN IT

Q+28=5Q+4

28-4=5Q-Q

24=4Q

Q=24/4

Q=6

NOW PUT Q=6 IN EQUATION Y=Q+28

Y=6+28

Y=34

HENCE SMALLER NUMBER =Q=6 &

GREATER NUMBER =Y=34