If six times the larger of two number is divided by the smaller one we get 8 as quotient and 6 as remainder also if 9 time the smaller number is divided by the larger no. and we get 6 as a quotient and 9 as reminders find the no
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17
Answer:
Larger number:21
Smaller number:15
Step-by-step explanation:
Let the larger number be'x' and the smaller number be 'y'.
Six times larger number by smaller number:
6x/y=8+remainder
6x=8y+remainder
6x=8y+6
6x-8y=6-------------☆
Nine times smaller number by larger number:
9y/x=6+remainder
9y=6x+9
-6x+9y=9-------------♡
Add☆and♡
6x-8y=6
-6x+9y=9
_________
y=15
Substitute y=15 in ♡
-6x+9(15)=9
-6x+135=9
6x=135-9
6x=126
x=126/6
x=21..
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