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2 years ago

8

Diego‘s mother is twice as old as he is. She is also as old as the sum of the ages of Diego and both of his younger twin brother

s. The twins are 11 years old. Find the age of Diego.

1 answer:

Pavel [41]2 years ago

5 0

Diego's age is 22
And his mother's age is 42

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11. Solve 5(2x – 3) = x – 15 + 9x for x.

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Answer:

$\boxed{\bold{True \ For \ All \ x}}$

Explanation:

[ Step One ] Group Like Terms

$\bold{5\left(2x-3\right)=x+9x-15}$

[ Step Two ] Combine Similar Elements: $\bold{x+9x=10x}$

$\bold{5\left(2x-3\right)=10x-15}$

[ Step Three ] Expand $\bold{5\left(2x-3\right): \ 10x-15}$

$\bold{10x-15=10x-15}$

[ Step Four ] Add 15 To Both Sides

$\bold{10x-15+15=10x-15+15}$

[ Step Five ] Simplify

$\bold{10x=10x}$

[ Step Six ] Subtract 10x From Both Sides

$\bold{10x-10x=10x-10x}$

[ Step Seven ] Simplify

$\bold{0=0}$

[ $\boxed{\bold{Final \ Answer}}$ ]

➤ $\bold{Both \ Sides \ Are \ Equal, \ True \ For \ All \ x}$

$\boxed{\bold{Mordancy}}$

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