Question

three consecutive numbers are such that when they are taken in increasing order and multiplied by 2 3 and 4 respectively they add up to 74 find the numbers
the ages of Rahul and Neha in the ratio 5 is to 7 4 years later the sum of their ages will be 56 years what are the present ages ​

Answer 1

Answer:

For question 1: The numbers are 7, 8 and 9

For question 2: Their current ages are 20 and 28

Step-by-step explanation:

Question 1:

Let the three consecutive numbers be n, n+1 and n+2, when taken in increasing order

If they are multiplied by 2, 3 and 4 respectively, the numbers become

2n, 3(n+1) and 4(n+2)

Now, since these three numbers add upto 74, we get

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

=> 2n + 3n + 3 + 4n + 8 = 74

=> 9n + 11 = 74

=> 9n = 63

=> n = 7

So, the consecutive numbers are 7, 8 and 9

Now, let us check the answer: if you multiply them by 2, 3 and 4 respectively, we get 14, 24 and 36

14 + 24 + 36 = 74

So, our answer is correct.

Question 2:

Let the ages of Rahul and Neha be R and N respectively.

So, R:N = 5:7

i.e, if R = 5x, then N = 7x

4 years later, their ages will be R+4 and N + 4. i.e, 5x + 4 and 7x + 4

Since 4 years later sum of their ages will be 56, we get

(R+4) + (N+4) = 56

i.e, (5x +4) + (7x+4) = 56

=> 12x + 8 = 56

=> 12x = 48

=> x = 4

=> R = 5x = 20 and N = 7x = 28

So, Rahul and Neha are 20 and 28 years old currently.