Question

two numbers are in the ratio of 9 is to 4 if they differ by 15 find the two numbers​

Answer 1

Solution

Given :-

• two numbers are in the ratio of 9:4
• Difference between is 15 .

Find :-

• Required Number

Explanation

Let,

• First Number be x ,
• second number be y .

According to question,

(two numbers are in the ratio of 9:4)

==> x : y = 9:4

==> x/y = 9/4

==> 4x = 9y

==> 4x - 9y = 0_____________(1)

And,

(Difference between is 15 .)

==> x - y = 15________________(2)

By, equ(2)

==> x = 15 + y ________________(3)

Keep value by equ(3) in equ(1)

==> 4(15 + y) - 9y = 0

==> 60 + 4y - 9y = 0

==> -5y = -60

Multiply by (-) in both side ,

==> 5y = 60

==> y = 60/5

==> y = 12

Keep value of " y " in equ(3).

==> x = 15 + 12

==> x = 27

Hence

• First Number is (x) = 27
• Second Number is (y) = 12

___________________

Answer Verification

According to question,

(two numbers are in the ratio of 9:4)

==> x : y = 9:4

==> x/y = 9/4

keep value of x & y.

==> 27/12 = 9/4

divide by 3 numerator & denominator of L.H.S.

==> 9/4 = 9/4

Or,

==> 9:4 = 9:4

L.H.S. = R.H.S.

that's Proved

__________________

Answer 2

Answer:

9:4=9:4

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