four fifth of a number is greater than three fourth of the same number by 4 find the number using the above statement
Answers
Answered by
0
Let 'x' be the unknown number.
Then,it is given that 4x/5 is greater than 3x/4 by 4.
We can make and equation out of this:
4x/5=3x/4+4
(By adding 4 on this side it becomes equal and so,we can place an = sign in place of >).
Solving the equation:
4x/5=3x/4+4.
Taking the LCM(4) and making the denominator same:
4x/5=3x/4+4*4/4.
4x/5=3x/4+16/4.
CROSS MULTIPLICATION:
4(4x)=5(3x+16).
Opening the brackets:
16x=15x+80.
Transposing 15x to LHS:
16x-15x=80.
x=80.
4*(80)/5=64.
3(80)/4=60.
Therefore, the 2 numbers are 64 and 60.
Then,it is given that 4x/5 is greater than 3x/4 by 4.
We can make and equation out of this:
4x/5=3x/4+4
(By adding 4 on this side it becomes equal and so,we can place an = sign in place of >).
Solving the equation:
4x/5=3x/4+4.
Taking the LCM(4) and making the denominator same:
4x/5=3x/4+4*4/4.
4x/5=3x/4+16/4.
CROSS MULTIPLICATION:
4(4x)=5(3x+16).
Opening the brackets:
16x=15x+80.
Transposing 15x to LHS:
16x-15x=80.
x=80.
4*(80)/5=64.
3(80)/4=60.
Therefore, the 2 numbers are 64 and 60.
Similar questions