The sum of two consecutive multiples of 8 is 88. Find these multiples.
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Question :-
The sum of two consecutive multiples of 8 is 88. Find these multiples.
Now,
Let the first multiple be 8x and second multiple be 8 (x + 1).
Thus,
8x + 8 (x + 1) = 88
8x + 8x + 8 = 88
16x + 8 = 88
16x = 88 - 8
16x = 80
x = 80 ÷ 16
x = 5
Verification,
LHS = 8x + 8 (x + 1)
= 8 × 5 + 8 (5 + 1)
= 40 + 8 × 6
= 40 + 48
= 88
RHS = 88
LHS = RHS hence, verified.
Hence,
First multiple = 8x
= 8 × 5
= 40
Second multiple = 8 (x + 1)
= 8 (5 + 1)
= 8 × 6
= 48
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Answer:
answer 48
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