Question

the different of two positive numbers is 60 the quotient obtained on dividing one by the other is 4. find the number

Answer 1

Define x:

Let one number be x

The other number is (60 - x)

Form equation and solve for x:

x ÷ (60 - x)  = 4

x = 4(60 - x)

x = 240 - 4x

5x = 240

x = 48

Find the numbers:

one number = x = 48

the other number = 60 - x = 60 - 48 = 12

Answer: The two numbers are 12 and 48

Answer 2

Let two positive numbers be x and y

the different of two positive numbers is 60

so x - y = 60...(1)

quotient obtained on dividing one by the other is 4

x will be greater than y, because the Difference is positive .. so x divided by y

x/y= 4

x= 4y...(2)

(2)in (1)


x - y = 60

4y - y = 60

3y = 60

y = 60/3 = 20..(3)

(3)in(2)

x=4y

x = 4(20) = 80

So the numbers are 80,20