Question

Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ?
A) 12 & 7
B) 13 & 8
C) 15 & 10
D) 14 & 9

Answer 1

Answer:

A) 12 & 7

Step-by-step explanation:

let the two numbers be x and y

x be the larger number

y be the smaller number

difference between them is 5

x - y = 5

x = 5 + y

six times the smaller number is 6 less than the larger number

4x = 6y + 6

4x - 6y = 6

4(5 + y) - 6y = 6

20 + 4y - 6y = 6

20 - 2y = 6

- 2y = 6 - 20

-2y = - 14

2y = 14

y = 14/2

y = 7

x = 5 + y

x = 5 + 7

x = 12

therefore the numbers are 12 and 7

hope you get your answer