Question

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

Answer 1

Answer:

Step-by-step explanation:

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

Answer 2

Answer:

The 2 Numbers are 90 and 75 .

Step-by-step explanation:

Let the 2 numbers be x and y where x is the larger number.

x-y=15 ------------eqn.1 (given difference)

x:y=6:5 -----------eqn.2 (given ratio)

x/y=6/5  

==> x=6y/5 ------eqn.3

Substituting eqn.3 in eqn.1 ,

6y/5 -y = 15

==> y=15*5

==> y = 75

Substituting value of y in eqn.1 ,

x=75 + 15

==> x = 90

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