The sum of two numbers is 31.2/3 of one of the numbers is equal to 5/8 of the other.find the two numbers

One number is x, the other is 31-x

2/3 x = 5/8 (31-x)

Now just solve for x and you're almost done

Continuation or before I'm anonymous

16x=3(155-5x)
16x=465-15x
Collect like terms
=31x=465 do the rest by yourself I'm not really sure

Pls want is the answer

pls show me the answer

I need the full solving

What a tough question

answer

2/3x=5/8(31-x)

5/8×31-x
=155-5x/8
=2/3 x=155-5x/8
Idk the rest I'm not done

(2/3+5/8)

X+y=2(31)
(7/11)=31/7
=15 and 16

To find the two numbers, let's represent them as variables.

Let's say one number is x, and the other number is y.

We are given two pieces of information:

1) The sum of the two numbers is 31. This can be expressed as an equation: x + y = 31

2) 2/3 of one of the numbers (x) is equal to 5/8 of the other number (y). This can be expressed as another equation: (2/3)*x = (5/8)*y

Now, we can solve these two equations simultaneously to find the values of x and y.

First, let's simplify the second equation by multiplying through both sides by 3 to eliminate the fraction:

3 * [(2/3)*x] = 3 * [(5/8)*y]
2x = (15/8)y

Next, let's simplify the equation further by cross-multiplying:

2x * 8 = 15y
16x = 15y
We can now represent y in terms of x:

y = (16/15)x

Now, substitute this value of y in the first equation:

x + (16/15)x = 31
(31/15)x = 31

Divide both sides of the equation by (31/15):

x = 31 / (31/15)
x = 15

Now, substitute the value of x back into y = (16/15)x:

y = (16/15)*15
y = 16

Therefore, the two numbers that satisfy the given conditions are x = 15 and y = 16.