Andy is twice as as as in 6 years, their ages will total 60. How is each now?

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Andy is twice as as as in 6 years, their ages will total 60. How is each now?

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Answer 1 · 2017-04-15T19:44:56

I will assume that "Andy is twice as old as Beth, and in six years their ages will add up to $60$ $60$ ". Then Andy is $32$ $32$ and Beth is $16$ $16$ .

Explanation:

Let $a$ $a$ be Andy's age and $b$ $b$ be Beth's age. Thus

$a = 2 b$ $a=2b$

$(a + 6) + (b + 6) = 60$ $(a+6)+(b+6)=60$

The second equation can be simplified, thus

$a + b = 48$ $a+b=48$

Then with the first equation we must have $a = 2 b$ $a=2b$ , thus it is possible to substitute $2 b$ $2b$ for $a$ $a$ in the simplified second equation:

$a + b = 48$ $color (blue)a+b=48$
$2 b + b = 48$ $color (blue)(2b)+b=48$

Then

$3 b = 48$ $3b=48$
$b = 16$ $b=16$
$a = 2 b = 32$ $a=2b=32$

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Andy is twice as as as in 6 years, their ages will total 60. How is each now?

This question seems to have been mis-typed, unsure of what to do in this situation...

1 Answer

Explanation:

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