Question

Six more than one. fourth of a number is two - fifth of the number. Find the number​

Answer 1

Answer:

40

Step-by-step explanation:

Complete step-by-step answer:

We are required to find the number that satisfies the given statement. Let the required number be x.

One-fourth of this number is given as:

14×x⇒x4

Two-fifth of this number is given as:

25×x⇒2x5

The given statement is:

Six more than one-fourth of this number is equal to two-fifth of the same number. According to this statement, the equation obtained is given as:

x4+6=2x5⇒2x5−x4=6

LCM of 5 and 4 will be their product i.e. 20. So, by taking LCM:

⇒2x×4−x×520=6⇒8x−5x20=6⇒8x−5x=6×20⇒3x=120⇒x=1203⇒x=40

Thus the required number is 40.

Therefore, the number which satisfies the given statement is 40

Answer 2

Step-by-step explanation:

x = -15 .

hope it helps .