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Olin [163]
3 years ago
13

Use x to find their age

Mathematics
2 answers:
liraira [26]3 years ago
5 0
Let the age of the son be x, then the age of the father = 6x
x + 6x = 42
7x = 42
x = 42/7 = 6
Therefore the age of the son is 6 while the age of the father is 6(6) = 36.
Sunny_sXe [5.5K]3 years ago
5 0
Father =36...............................
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Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How
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Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

x+y=42 ----> equation A

Frank has 6 more than half the number of cards as his friend

x=\frac{y}{2} +6 ---> equation B

Solve the system by substitution    

Substitute equation B in equation A

\frac{y}{2} +6+y=42

solve for y

\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24

<em>Find the value of x</em>

x=\frac{24}{2} +6=18

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

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