Question

A number is divided into two
parts in such a way that 80% of
1st part is 3 more than 60% of
2nd part and 80% of 2nd part is 6
more than 90% of the 1st part.
Then the number is:​

Answer 1

Answer:

T(80/100)x=(60/100)y+3……….1

(80/100)y=(90/100)x+6………..2

8x=6y+30………(simplifying equation1)

8y=9x+60……..(simplifying equation 2)

8x-6y=30……3

8y-9x=60……..4

mutiplying equation 3 by 9

72x-54y=270………5

multiplying equation 4 by 8

64y-72x=480……6

adding equation 5&6

64y-54y=750

10y=750

y=750/10=75.

substituting value of y in equation 3

8x-450=30

8x=480

x=480/8=60

x=60

y=75

the number is 135 .Answer