Question

one fifth of four times a number is 20 what is the number ​

Answer 1

Step-by-step explanation:

One-fifth of a number is equal to 5/8th of another number. If 35 is added to the first number, it becomes four times of the second number. What is the second number?

Let the first number be x and the second number be y.

Given : (1/5)x = (5/8)y

x = (25/8)y

It is also given that, x + 35 = 4y

Replacing the value of x we had previously obtained,

(25/8)y + 35 = 4y

(25/8)y - 4y = -35

(25y - 32y)/8 = -35

-7y = -280

y = 40 and replacing this value in the first equation,

x = 125

Therefore, the first number is 125 and the second number is 40

Verification : 1/5th of 125 is 25 and 5/8th of 40 is also 25.

Adding 35 to 125 makes it 160 which is 4 times 40.