Question

80% of a small number is 4 less than 40% of a larger number. The larger number is 125 greater than the smaller one. The sum of these two numbers is:

Answer 1

Answer:

the sum of the two numbers is 395

Step-by-step explanation:

larger number = y

smaller number = x

then,

80% of x - 40% of y = 4

80/100 x - 40/100 y =4

80 x -40 y = 400

8x - 4y = 40

2x - y = 10

also,

y = x + 125

now,

2x - ( 125 + x) =10

2x - 125 -x = 10

x = 135

now y = 135 +125

y = 260

finally,

x + y = 135 + 260

x + y = 395