Question 1173233
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Hi  
2Equations, 2 unknowns
x your age
y sister's age 
Question States:
5x + 2y = 64    Multiplying by 3  to eliminate y
-2x + 3y = 1    Multiplying by -2 to eliminate y

15x + 6y = 192 
<u> 4x - 6y = -2</u>
19x = 190
x = 10 , your age now,  sister is  -20 + 3y = 1,  y = 21/3 = 7 years old now
How old were each of us last year?  9 and 6 years old a year ago
checking our Answers:
5x + 2y = 64
50 + 14 = 64 checks 
Wish You the Best in your Studies.