Find x,y,z given that numbers x,10,y,24,zare in Ap
Answers
Answered by
1
Answer:
2*10 = x+y
20=x+y .......... eq 1
24*2=y+z
48=y+z...... eq 2
2*y=10+24
2y=34
y=17
10-x = y-10 = 24-y =z-24 =d
put y=17 in eq 1
x=3
put y=17 in eq 2
z=31
d=10-x=10-3=7
ap is
3,10,17,24,31
Answered by
1
Answer:
X=3,y=17,z=31
Step-by-step explanation:
10,y,24 are in AP so taking arthmatic
y=(10+24)/2
y=34/2
y=17
now finding common difference
d=17-10
=7
now all the no.s are in AP so
a+d=10. (where 'a' is first term)
a=10-7=3
so X=3
now
z=a+4d=3+4*7
=3+28=31
so
X=3,Y=17,Z=31
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