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Norma-Jean [14]
3 years ago
14

PLEASE HELP!!!

Mathematics
1 answer:
horsena [70]3 years ago
6 0
Answer is B
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: Sam is 12 years older than John. For the last four years, Sam and John have been friends. Five years ago, Sam was 5 times as o
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Answer:

The present age of Sam is 20 years .

Step-by-step explanation:

Given as :

Let The age of John =  J years

Let The age of Sam = S years

∵ Sam is 12 years older than John

so,  The age of Sam = 12 + The age of John

i.e S = 12 + J            .....1

<u>Again</u>

Before 5 years ago

The age of Sam = 5 times age of John

So, (S - 5) = 5 × (J - 5)

Or, S - 5 = 5 J - 25

Or, 5 J - S = 25 - 5

Or, 5 J - S = 20                  .........2

Solving eq 1 and eq 2

[5 J - (12 + J)] = 20

Or, 5 J - 12 - J = 20

Or, 4 J = 20 + 12

Or, 4 J = 32

∴ J = \frac{32}{4}

i.e J = 8 years

So, The age of John = J = 8 years

Put The value of J into eq 1

∵ S = 12 + J

So, S = 12 + 8

i.e S = 20 years

So, The present age of Sam = S = 20 years .

Hence, The present age of Sam is 20 years . Answer

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