the sum of two consecutive multilpkes of 7 is 77.find them
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Answered by
6
let first multiple be x
then another multiple is x+7
therefore
x+(x+7)=77
2x+7=77
2x=77-7
2x=70
x=35
therefore first multiple is 35
and the second is 35+7
=42
then another multiple is x+7
therefore
x+(x+7)=77
2x+7=77
2x=77-7
2x=70
x=35
therefore first multiple is 35
and the second is 35+7
=42
Answered by
1
Answer :
Let us take the two consecutive multiples of 7 are 7n and 7(n + 1)
By the given condition,
7n + 7(n + 1) = 77
or, n + n + 1 = 11, dividing both sides by 7
or, 2n = 11 - 1
or, 2n = 10
or, n = 5
Therefore, the two consecutive multiples of 7 are (7 × 5) and {7 × (5 + 1)},
i.e., 35 and 42
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