The points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI: IJ: JK is equal to 2:1: 2. If HK = 25, find JK.

Step-by-step explanation:

Given,

ratio of HI, IJ , Jk = 2 : 1 : 2

let their value be

HI = 2x

IJ = x

JK = 2x

HK = 25

according to question,

HI + IJ + JK = Hk

now, after inserting the values we got,

→ 2x + x + 2x = 25

→ 5x = 25

→ x = 25/5 = 5

→ x = 5

therefore value of,

HI = 2x → 2×5 = 10

IJ = x → 5

JK = 2x → 2×5 = 10

Hence, value of JK is 10.

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it's both, now can you answer my most recent question?

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !