Question

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 1

Answer:

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Step-by-step explanation:

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Answer 2

Given :

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