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 56 find the answer
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Answer:
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.
Solution :
Let us assume the three consecutive integers to be x, x+1 and x+2.
So,
Let us multiply the three integers with 2,3 and 4 respectively,
we get,
⇒ x*2 = 2x
⇒ (x+1)*3 = 3x + 3
⇒ (x+2)*4 = 4x + 8
Now adding 1, 2 and 3 we get ,
2x +3x+3 +4x+8 =74
9x+11 = 74
9x =74-11
x = 63/9
x = 7
So,
the three integers are,
x=7
x+1 = 8
x+2 = 9
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