Three consecutive integese cite Buch that when they are taken in
increasing ooder and shultibled by 2, 3 and 4 respectively, they
add by th4 find these numbers?
Answers
Answer: YOUR QUESTION IS NOT CLEARLY UNDERSTANDABLE SO A QUESTION SIMILAR TO IT IS FROM CLASS 8 CH 2 EX:2.2
Q:Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
ANSWER:
Let three consecutive integers be x, x + 1, x + 2. According to the question,
2x + 3(x + 1) + 4(x + 2) = 74
2x + 3x + 3 + 4x + 8 = 74
9x + 11 = 74
On transposing 11 to R.H.S, we obtain
9x = 74 − 11
9x = 63
On dividing both sides by 9, we obtain
x = 7
x + 1 = 7 + 1 = 8
x + 2 = 7 + 2 = 9
Hence, the numbers are 7, 8, and 9.
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Answer :
Let Three Consecutive integers be x , x+1, x+2 .
According to Question ,
2x +3(x+1)+4(x+2) = 72
2x +3x +3 +4 x+ 8 = 74
On Transposing 11 R.H.S , we Obtain
9x =74 -11
9x =63
On dividing both Sides by 9 , We obtain
x=7
x +1 =7 +1 =8
x+2 = 7 +2=9
Hence, the numbers are 7, 8 , and 9 .
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