Question

two numbers are in the ratio 15 :16.If 3 us added to each of them the ratio become 16:17 find the numbers​

Answer 1

Step-by-step explanation:

ANSWER

Let the two numbers be x and y.

As per condition 1, i.e., Two numbers are in the ratio 3 : 4.

The equation becomes,

y

x

=

4

3

∴4x−3y=0 ..........(1)

As per condition 2, If 4 is added to each, the ratio becomes 4:5.

The equation becomes,

y+4

x+4

=

5

4

∴5x−4y=−4 ...........(2)

Equation (1) can be written as x=

4

3y

Substituting x=

4

3y

in (2) we get,

y=16

Re substituting y=16 in (1) we get,

x=12

Hence Numbers are 12 and 16

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