# Determine 2611

1. Determine a number with the same result if we multiply it by ten as if we add 10 to it.
2. Věra is twice as old today as her sister Jitka. In five years, Jitka will be only 1/3 years younger than Věra. How old are Věra and Jitka today?
3. Find the pair of integers to which it holds:
a + b = c
a * b = c

x =  1.1111
V =  10
J =  5
a =  2
b =  2

### Step-by-step explanation:

10x = x+10

10·x = x+10

9x = 10

x = 10/9 = 1.11111111

x = 10/9 ≈ 1.111111

Our simple equation calculator calculates it.

V = 2J
J+5 = (1-1/3)(V+5)

V = 2·J
J+5 = (1-1/3)·(V+5)

2J-V = 0
3J-2V = -5

Pivot: Row 1 ↔ Row 2
3J-2V = -5
2J-V = 0

Row 2 - 2/3 · Row 1 → Row 2
3J-2V = -5
0.33V = 3.33

V = 3.33333333/0.33333333 = 10
J = -5+2V/3 = -5+2 · 10/3 = 5

J = 5
V = 10

Our linear equations calculator calculates it.
2+2 = 2 * 2 = 4

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