Question

two numbers are in the ratio 5 is to 7 their difference is 10 find the numbers

Answer 1

Here's the answer...

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Answer 2

HEY MATE HERE IS YOUR ANSWER

GIVEN THAT TWO NUMBERS ARE IN RATIO THAT IS 5:7 . AND THEIR DIFFERENCE IS 10 .

SOLUTION ➡️➡️

SO LET X BE A CONSTANT OF THE RATIO

THEREFORE THE FIRST NUMBER WOULD BE = 5X

AND SIMILARLY

THE SECOND WOULD BE = 7X

NOW ACCORDING TO QUESTION ITS GIVEN THAT

$7x - 5x = 10$
SO NOW FROM THIS WE HAVE

$2x = 10$
THAT IS

$x = \frac{10}{2} = 5$
HENCE THE CONSTANT OF RATIO IS X = 5

SO THE

FIRST NUMBER IS = 5x → 5 X 5 = 25

AND SIMILARLY

SECOND NUMBER IS = 7x → 7 X 5 = 35

THEREFORE THE NUMBERS ARE

25 AND 35 .

BUT THERE IS ANOTHER ANSWER FOR THIS QUESTION AS IN THIS FIRST SOLUTION WE SUBTRACTED

SMALLER NUMBER FROM GREATER NUMBER . SO IT CAN BE ALSO OTHER WAY THAT IS IT CAN BE

SUBTRACTED GREATER FROM SMALLER .


THEREFORE THE SECOND SOLUTION CAN BE ➡️

SIMILARLY WE ARE TAKING X AS CONSTANT OF RATIO .



SO WE HAVE

FIRST NUMBER = 5X

AND

SECOND NUMBER = 7X

NOW ACCORDING TO QUESTION WE HAVE

$5x - 7x = 10$
THAT IS

$- 2x = 10$
SO WE HAVE

$x = \frac{10}{ - 2} = - 5$
HENCE HERE THE CONSTANT OF RATIO IS = -5

SO FIRST NUMBER = 5X = 5 × -5 = -25

AND SIMILARLY

SECOND NUMBER IS = 7X → 7 × -5 = -35

SO THE NUMBERS IN SECOND SOLUTION ARE

-25 & -35 ( BUT THIS DOESN'T MAKE MUCH CHANGE IN ANSWER, AS IN RATIO IF BOTH NUMERATOR AND

DENOMINATOR CONTAINS NEGATIVE NUMBERS THEN THIS NEGATIVE GETS CANCELLED AND IT

BECOMES A POSITIVE NUMBER.)

THEREFORE YOUR ANSWER IS

25 & 35


HOPE IT'S HELPFUL !!!!

BY NIPUN ⏺️

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