Question

the sum of two numbers is 184 one third of one number exceeds one seventh of the other number by 8 find the two numbers

Answer 1

Hi ,

let one number = x

second number = 184 - x

according to the problem given,

x /3 - ( 184 -x )/7 = 8

[ 7x - 3(184 - x ) ] /21 = 8

7x - 552 + 3x = 21 × 8

10x = 168 + 552

10x = 720

x = 720 / 10

x = 72

Therefore ,

one number = x = 72

second number = 184 - x

= 184 - 72

= 112

I hope this helps you.

:)

Answer 2

Answer:

Step-by-step explanation:

Given :-

The sum of two numbers is 184.  

If one-third of the one exceeds one-seventh of the other by 8

To Find :-

The Smaller Number

Solution :-

Let the numbers be x and (184 - x).  

According to the Question

⇒ (x/3) - ((184 – x)/7) = 8  

⇒ 7x – 3(184 – x) = 168  

⇒10x = 720  

⇒ x = 720/10

⇒ x = 72.  

Therefore, the numbers are 72 and 112.  

Hence, smaller number = 72.