एम.एसई
-दो संख्याओं का योगफल 710 है। जब बड़ी संख्या को छोटी संख्या से भाग दिया जाता है तो भागफल
12 और शेषफल 8 आता है। तो बड़ी संख्या होगी।
(2009)
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Answer:
Larger number = 656
Step-by-step explanation:
Let the two numbers be a and b with a > b
By the given condition, the sum of the two numbers a and b is 710
Then, a + b = 710 ..... (1)
It is also given that when a is divided by b, the quotient will be 12 and the remainder be 8. Using division algorithm, we can write
a = 12b + 8 ..... (2)
Substituting a = 12b + 8 in (1), we get
12b + 8 + b = 710
or, 13b = 702
or, b = 54
Then a = 710 - 54
or, a = 656
Therefore the two numbers are 656 and 54
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