Question

one number is 4 times the other number. The greater number is 42 more than half the smaller number . ​

Answer 1

Step-by-step explanation:

Let the numbers are x and y.

Given that the sum of these two number is 42. So here comes our first equation according to question : x + y = 42 ——— (i)

Now, it is given that the larger number is 20 more than the smaller number. So let y is our larger number.

Then from question,

y = x + 20 —— (ii)

Using equation (ii) in (i), we get

x + (x +20) = 42

or, 2x + 20 = 42

or, 2x = 42 - 20

or, 2x = 22

or, x = 11

So, y = x + 20 = 11+20 = 31

Hence our two numbers are 11 and 31.