Frame and solve the equations for the following statements:
Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
Let the numbers be x and y
Now, Difference is 18
⇒x−y=18......................................(1)
and assuming that x is the Larger number
and 53=xy→y=3x5
Putting y=3x5 in eq(1) we get
⇒x−3x5=18→2x5=18→x=45
So, 45−y=18→y=63
Hence, the numbers are 45 and 63.