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Oksi-84 [34.3K]
2 years ago
10

10. June's father is 6 times as old as June. The sum of their ages is no less than 77. What is the youngest age June can be?

Mathematics
2 answers:
DENIUS [597]2 years ago
7 0

Answer:  The youngest possible age of June is 11 years.

Step-by-step explanation:  Given that  June's father is 6 times as old as June and the sum of their ages is no less than 77.

We are to find the youngest possible age of June.

Let x represents the age of June.

Then, according to the given information, the age of June's father will be 6x.

Therefore, we get

x+6x\geq 77\\\\\Rightarrow 7x\geq 77\\\\\Rightarrow x\geq\dfrac{77}{7}\\\\\Rightarrow x\geq 11.

That is, the age of June is greater than or equal to 11 years.

Thus, the youngest possible age of June is 11 years.

Nostrana [21]2 years ago
4 0

Answer:

11

Step-by-step explanation:

11*6=66+11=77

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Step-by-step explanation:

B(2,10); D(6,2)

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Rhombus all sides are equal.

AB = BC = CD =AD

distance = √(x2-x1)² + (y2- y1)²

As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x

A(X,0)

AB = AD

√(2-x)² + (10-0)² = √(6-x)² + (2-0)²

√(2-x)² + (10)² =  √(6-x)² + (2)²

√x² -4x +4 + 100 =  √x²-12x+36 + 4

√x² -4x + 104 =  √x²-12x+40

square both sides,

x² -4x + 104 =  x²-12x+40

x² -4x - x²+ 12x = 40 - 104

             8x = -64

               x = -64/8

               x = -8

A(-8,0)

Let C(a,b)

M is AC midpoint

(-8+a/2, 0 + b/2)  = M(4,6)

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Comparing;  

-8+a/2 = 4          ; b/2 = 6

  -8+a = 4*2       ; b = 6*2

  -8+a = 8          ; b = 12

        a = 8 +8

       a = 16

Hence, C(16,12)

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