one fourth of a number exceeds one fifth of its succeeding number by 3 find the number
Answers
Answer:
Hi ,
We have to convert the given word problem into
algebraic equation.
Let the number = x
One fourth of the number = ( 1/4 ) × x = x / 4
Succeeding number of x = ( x + 1 )
One fifth of the above number = ( 1/5 ) × ( x + 1 )= ( x + 1 ) / 5
According to the problem ,
One fourhth of a number exceeds one fifth of its
succeeding number by 3.
x / 4 - ( x + 1 ) /5 = 3
LCM ( 4 , 5 ) = 4 × 5 = 20
[ 5x - 4 ( x + 1 ) ] / 20 = 3
5x - 4x - 4 = 3 × 20
x - 4 = 60
x = 60 + 4
x = 64
Therefore ,
Required number = x = 64
Verification:
x /4 - ( x + 1 ) /5 = 64 /4 - ( 64 + 1 ) / 5
= 16 - 13
= 3
I hope this helps you.
*****
Step-by-step explanation:
Answer:
THE NUMBER IS 60
Step-by-step explanation:
LET THE NUMBER BE x
SO,
A.T.Q.,
(1/4)x = (1/5)x+3
x/4 = (x+15)/5
5x = 4x+60
x = 60
I HOPE YOU UNDERSTOOD THE QUESTION!!!
!!!JAI SHREE KRISHNA!!!