Question

5.
If 184 is divided into two parts such that
one-third of one part exceeds one-seventh of
the other part by 8, then the greater part is​

Answer 1

Answer:

here your answer..........

112

Step-by-step explanation:

let the two parts be a and b

respectively.

then a + b = 184........................ (1)

According to question

one-third of one part exceeds

one-seventh of the other part by 8.

(a/3) - (b/7) = 8

(7a - 3b)/21 = 8

7a - 3b = 8 × 21

7a - 3b = 168...............................(2)

now multiply equation (1) with 3

and adding with equation (2)

we get

7a - 3b + 3a + 3 b = 168 + 552

10a = 720

a = 72

substitute a value in equation (1)

72 + b = 184

b = 184 - 72

b = 112

therefore greater part is 112.