Question

three consecutive integers are such that when they are taken in increasing order multiplied by 2,3 and4 respectively they add up to 74 find these numbers ​

Answer 1

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▪Three consecutive integers are such that when they are taken in increasing order multiplied by 2,3 and4 respectively they add up to 74 find these numbers.

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☞.Let the three consecutive integer be. x,( x+1),and (x+2).

☞Multiplied in increasing order . 2x, 3(x+1) and 4(x+2)

☞After adding these three consecutive integers we get =74

☞Now,

☞ 2x +3(x+1)+4(x+2)=74

☞2x+3x+3+4x+8=74

☞9x+11=74

☞9x=74-11

☞x=63/9

☞x=7

therefore the three consecutive integer are:-

1. ☞ x=7
2. ☞(x+1)=8
3. ☞(x+2)=9

Therefore the required answer will be 7,8 and 9.

hope this answer helps you

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Answer 2

Answer:

Let the three consecutive integer be. x,( x+1),and (x+2).

Multiplied in increasing order . 2x, 3(x+1) and 4(x+2)

After adding these three consecutive integers we get =74

:::

2x +3(x+1)+4(x+2)=74

2x+3x+3+4x+8=74

9x+11=74

9x=74-11

x=63/9

x=7

the three consecutive integer are:-

x=7

(x+1)=8

(x+2)=9