Greg’s sister Ava is 4 years older than him. If the sum of Greg’s age and 2 times Ava’s age is 35, How old is Ava?

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Answer:

13

Step-by-step explanation:

Create an equation: g+(G+4)(2)=35

Parentheses: g+2(G+4)=35

Distributive property: g+2g+8=35

Combine like terms: 3g+8=35

Subtractive property: 3g=27

Division property: g=9

Greg is 9. Since Ava is 4 years older you add 4 to find her age. Ava is 13. You take Ava’s age times 2 ( equals 26) then add Greg’s age (equals 35). And it should equal 35.

The Ava age is 13.

Given that,

  • Greg’s sister Ava is 4 years older than him.
  • And, the sum of Greg’s age and 2 times Ava’s age is 35.
  • Let us assume Greg age be x and Ava age be x + 4.

Based on the above information, the calculation is as follows:

x + 2(x + 4) = 35

x + 2x + 8 =35

3x+8=35

3x=27

x=9

Now Ava age be

= 9 + 4

= 13

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