Question

find two numbers whose difference is 15and are the ratio of larger number to the smaller number is 6:5

Answer 1

Answer:

LET , LARGEST NUMBER = X AND SMALER NUMBER = Y

GIVEN :-

RATIO NUMBER TO LARGER NUMBER AND SMALLER NO. = 6:5

==> 6X/5Y = 1

==>  6X = 5Y ...(1)

AND GIVEN

DIFFERENCE B/W THE NUMBER

X-Y = 15

X= 15+Y

SO, PUTTING VALUE OF X IN EQ(1)

==> 6(15+Y) = 5Y

==> 90+6Y = 5Y

==> 90 = -Y

==> Y = -90

AND X - Y = 15

  ==> X-(-90) = 15

 ==> X+90 = 15

==> X = -75

SO, THE TWO NUMERS ==> -90 RATIO -75 ==> 90:75