Question

1. Two numbers are in the ratio 5: 3. If they differ by 18, what are the
numbers?
2. The ages of Rahul and Haroon are in the ratio 5:7. Four years later the
sum of their ages will be 56 years. What are their present ages?
3. Three consecutive numbers add upto 51. What are these integers?


Ppppppppplllleeeeaaassseee answer will mark everyone brainliest and give it in steps ​

Answer 1

Answer:

1. Let the ratio of the numbers be 5x and 3x

according to question,

5x - 3x = 18

or, 2x = 18

or, x = 18/2

x = 9

Therefore, the first number = 5x = 5×9

= 45

& the second number = 3x = 3×9 = 27.

2. Let the age of Rahul and Haroon be 5x and 7x respectively.

according to question,

5x + 4 + 7x + 4 = 56

or 12x + 8 = 56

or, 12x = 56-8

or, 12x = 48

or, x = 48/12

x = 4

Therefore, Rahul's age = 5x = 5×4= 20

& Haroon's age = 7x = 7×4= 28.

3. Let the first consecutive integer be x. then second consecutive integer be x + 1 & third consecutive integer be x+2

according to question,

x + x + 1 + x + 2 = 51

or, 3x + 3 = 51

or, 3x = 51 - 3

or, 3x = 48

or, x = 48/3

x = 16

Therefore, 1st integer = x = 16

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

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

Hence, the three consecutive integer is 16, 17 and 18.

Answer 2

Answer:1

Let one number=5x

let another number=3x

A.T.Q

5x-3x=18

2x=18

x=18/2

x=9

one number=5x

=5*9

=45

another number=3x

=3*9

=27