Question

two numbers are such that the first is 5 times the second number. If 10 is added to both the numbers, the first number becomes 3 times the second number. Find the two numbers

Answer 1

let the number are

5x and X

5X + 10 3
----------- = ---
X + 10 1

= 5X + 10 = 3X + 30

5X - 3X = 30 - 10

2X = 20

X = 10

hence number are

5X and X

= 5 × 10 = 50

and

X = 1 × 10 = 10

50 , 10

Answer 2

let the numbers be x and 5x
5x+10=3(x+10)
5x+10=3x+30
5x-3x=30-10
2x=20
x= 10
therfore 5x = 50
hence the numbers are 50 and 10