Question

what number is thar of which the third part exceedes the fifth part by 4

Answer 1

It is given that 1/3 of a number is equal to 1/5 of the number + 4.

Taking 'x' ad the unknown number.

x/3=x/5+4.

We will get the value of the unknown number by solving the given equation.


Taking LCM and making the denominator same:

x/3=x/5+4*5/5.
x/3=x/5+20/5.

CROSS MULTIPLICATION:

5(x)=3(x+20).
5x=3x+60.

TRANSPOSING 3x to LHS:

5x-3x=60.
2x=60.

TRANSPOSING 2 to RHS:

x=60/2.
x=30.

Therefore,the unknown number is 30.