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