Question

Two numbers are in the ration 5:3. If they differ by 18, find these numbers 5) Three consecutive integers add up to 51. What are these integers?

Answer 1

4) Answer is 45 & 27

5)Answer is 15,17,19

Step-by-step explanation:

4) let the no. be 5x & 3x

Then, 5x-3x=18

2x=18

x=18/2

x=9

1st no. 5*9=45

2nd no. 3*9=27

5) let the three no. be x, x+2,x+4

Then, x+x+2+x+4=51

3x+6=51

3x=45

x=45/3

x=15

x=15

x+2=15+2=17

x+4=15+4=19

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Answer 2

1: let the number be 5x and 3x

According to the question,

5x-3x=18

2x= 18

Therefore, x = 18/2= 9

Hence , 1 st no. = 5x =5*9 = 45

2 nd no. =3x =3*9=27

2 : Let 3 consecutive integer be x , x+1, x+2 = 51

According to question,

x+(x+1)+(x+2) = 51

3x + 3 = 51

3x= 51-3

3x = 48

x = 48/3 = 16

1 integer = 16

2 integer = x+1 = 16+1 = 17

3 integer = x+ 2 = 16 + 2 = 18