25+45+30-10+10
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25+25+25+25+50+50+45+45+30+40+10
= 25 x 4 + 50 x 2 + 45 x 2 + (30 + 40 + 10)
= 100 + 100 + 90 + 80
= 200 + 170
= 370
5 - 10 + 15 - 20 + 25 - 30 + 35 - 40 + 45
= 45 - 40 + 35 - 30 + 25 - 20 + 15 - 10 + 5
= (45 - 40) + (35 - 30) + (25 - 20) + (15 - 10) + 5
= 5 + 5 + 5 + 5 + 5
= 25
1/5+4/10+9/15+25/25+36/30+49/35+64/40+81/45
=1/5 + (4/10:2) + (9/15:3)+25/25 + (36/30:6)+ (49/35:7) + (64/40:8) + (81/45:9)
=1/5 + 1/5 + 1/5 + 1 + 1/5 + 1/5 + 1/5 + 1/5
=1/5 x 7 + 1
=12/5
\(\dfrac{x-55}{45}+\dfrac{x-30}{35}+\dfrac{x-25}{25}+\dfrac{x-40}{15}=10\)
\(< =>\dfrac{x-55}{45}+\dfrac{x-30}{35}+\dfrac{x-25}{25}+\dfrac{x-40}{15}-10=0\)
\(< =>\dfrac{x-55}{45}-1+\dfrac{x-30}{35}-2+\dfrac{x-25}{25}-3+\dfrac{x-40}{15}-4=0\)
\(< =>\dfrac{x-100}{45}+\dfrac{x-100}{35}+\dfrac{x-100}{25}+\dfrac{x-100}{15}=0\)
\(< =>\left(x-100\right)\left(\dfrac{1}{45}+\dfrac{1}{35}+\dfrac{1}{25}+\dfrac{1}{15}\right)=0\)
\(< =>x-100=0\left(\dfrac{1}{45}+\dfrac{1}{35}+\dfrac{1}{25}+\dfrac{1}{15}\ne0\right)\)
\(< =>x=100\)
5 - 10 + 15 - 20 + 25 - 30 + 35 - 40 + 45 - 50 + 55
= -5 + -5 + -5 + -5 + -5 + 55
= -25 + 55
= 30
25 + 45 + 30 - 10 + 10 = 100
25+45+30-10+10
=70+30-10+10
=100-20
=80