kaleighashtyn
22.10.2019 •
Mathematics
Aman during his life had three wives.
his first wife passed when he had been
then married half his life.
six years later he married again.
this marriage only lasted a third the
length of his first.
he remarried within weeks and lived
with her the remainder of his life.
his last marriage lasted 3 years more
than his other marriages combined.
he died at age 86.
how long was his third marriage ?
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Ответ:
If we write the length of the first marriage as a, we can write the whole thing as an equation.
His life pre-marriage is also a, because when his first marriage ended, he'd been married for half of his life. So at the moment we have 2a.
He went 6 years before remarrying, and then it lasted a third of the first one. We can express this as a/3. We now have 2a+a/3+6.
Then, his third marriage was 3 years longer than both of his previous marriages. We can write this as a+a/3+3, so we now have 3a+2a/3+9.
He died at 86, so the equation is
3a+2a/3+9=86
-9
3a+2a/3=77
Rearrange it. Each singular a is 3 full parts, therefore we can write it as 9a/3.
Now we have 11a/3=77.
Divide by 11.
a/3=7
Multiply by 3.
a=21.
The first marriage lasted 21 years. The second lasted 1/3 of that, which is 7. Together, these add up to 28. If you add 3, you are left with 31, meaning the marriage lasted for 31 years.
Hope this helps :)
Ответ:
Plane A
Step-by-step explanation:
Plane A is further away from the airport than Plane B