# The sum of two numbers of an A.P. is 20 and sum of their squares is 120. Find the number?

2
by pramod01111

by pramod01111

sum =

Sum of squares =

a^2+(a^2 +2ad +d^2)+(a^2 +4ad + 4d^2)+(a^2+6ad +9d^2)= 4a^2+12ad+14 d^2=120 plug

The numbers are

=A=20-p........................i

=(A+P)^2=120

sunstiturw value of equatino i to formula.

(20-P+P)^2=120

done

8 + 2 + 4 + 6 = 20

64 + 4 + 16 + 36 = 120

2,4,6,8