Question

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

Answer 1

Answer:

72 & 112

Step-by-step explanation:

Given :- let take the two numbers as a & b

Therefore,

a+b = 184. _______1

1/3a = 1/7b + 8 _______2

solution:- let multiple eq 2 by 3, we get

a = 3/7b + 24. ________3

substitute eq 3 in eq 1, we get

3b + 24 + b = 184

7

3 + 7 b = 184 - 24

7

10 b = 160

7

10b = 160× 7

b =. 160 × 7

10

b = 112

substitute b= 112 in eq 1, we get

a + 112= 184

a = 184 - 112

a = 72