8) If the differnce between twonumbers
38 and 5 is 42 find their lom
2) 318 3.125 2 47620​

1 thought on “8) If the differnce between twonumbers<br />38 and 5 is 42 find their lom<br />2) 318 3.125 2 47620​”

1. Answer:

   Solution :

   Let the smallest number = x

   and the largest number = y

   According to the condition,

   y-x=7y−x=7 …(i)

   and 6x+y=776x+y=77 ….(ii)

   From eq. (i)

   y=7+xy=7+x …(iii)

   Substituting the eq. (iii) in eq. (ii) we will get,

   6x+7+x=776x+7+x=77

   ⇒7x=77-7⇒7x=77−7

   ⇒x=\frac{70}{7}⇒x=

   7

   70

   ⇒x=10⇒x=10

   Now, substituting the value of x in eq. (iii)

   y=7+x=7+10=17y=7+x=7+10=17

   ∴The smallest number 10 and the largest number is 17

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