C. If one number in greater than other by 10 and their A.M. is 15, then find them. Exercise 1.5B
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Answer:
Step-by-step explanation:
uppose two numbers are m and n.
Then, m+n=15
Arithmetic mean (AM) =
2
(m+n)
=
2
15
=7.5
GM =
mn
According to the given condition AM is 25% greater than GM.
AM = GM ×
100
125
7.5×100=GM×125
GM=
125
750
=6
GM =6
Then, mn will be 36.
m+n is given as 15
⇒mn+n
2
=15n
⇒n
2
−15n+36=0
⇒(n−12)(n−3)=0
Thus, the numbers are 12 and 3.
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