# Yosief and Datan are playing soccer. Right this moment, if Yosief have 5 goals more than Datan he will have double Datan's, and if Yosief had 7 goals less he will have half the goals of Datan. How many goals does Yosief have right this instance moment?

Yosief has

My understanding of the question:

If Yosief had 5 more goals than he currently has, then he would have double the number of goals that Datan has. If Yosief had 7 fewer goals than he currently has, then he would have half the number of goals that Datan has.

If this interpretation is incorrect then the answer (above) and the derivation (below) will be incorrect.

The given statements, converted into algebraic form would be:

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Is this question correct?

Write equation(2) as:

Still using equation (2)

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Let's denote the number of goals Yosief currently has as ( y ) and the number of goals Datan currently has as ( d ).

According to the given conditions:

- ( y = d + 5 )
- ( y - 7 = \frac{1}{2}(d) )

We can solve this system of equations to find the values of ( y ) and ( d ).

From equation 1: ( y = d + 5 )

Substitute this value of ( y ) into equation 2: ( (d + 5) - 7 = \frac{1}{2}(d) ) ( d - 2 = \frac{1}{2}d ) ( \frac{1}{2}d = 2 ) ( d = 4 )

Now, we can find the value of ( y ) using equation 1: ( y = d + 5 ) ( y = 4 + 5 ) ( y = 9 )

So, Yosief currently has 9 goals.

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