By what rational number should the sum of 15 by 5 and minus 7 by 15 be divided to get 47 by 6
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The no. Is 705/312.
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Let the required rational no.be x
then , the sum of x+15÷5
= x+3
and the difference between x-7÷15
=(15x-7)÷15=(x-7)
AtoQ,
(x+3)÷(x-7)=47÷6
⇒6×(x+3) = 47×(x-7)
⇒6x+18 = 47x-329
⇒ -47x+6x = -329-18
⇒ -41x = -347
⇒ x = 347÷41
∴ The required rational number is 347 by 41
then , the sum of x+15÷5
= x+3
and the difference between x-7÷15
=(15x-7)÷15=(x-7)
AtoQ,
(x+3)÷(x-7)=47÷6
⇒6×(x+3) = 47×(x-7)
⇒6x+18 = 47x-329
⇒ -47x+6x = -329-18
⇒ -41x = -347
⇒ x = 347÷41
∴ The required rational number is 347 by 41
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