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Sia ? 6 years, 6 months ago
HCF of two or more positive integers is the largest positive integer that divides all the numbers exactly.
The given numbers are 32 and 54
By applying division lemma 54 = 32 {tex}\times{/tex} 1 + 22
Since remainder {tex}\neq{/tex} 0, apply division lemma on 32 and remainder 22
32 = 22 {tex}\times{/tex} 1 + 10
Since remainder ≠ 0, apply division lemma on 22 and remainder 10
22 = 10 {tex}\times{/tex} 2 + 2
Since remainder ≠ 0, apply division lemma on 10 and 2
10 = 2 {tex}\times{/tex} 5 + 0
Therefore, H.C.F. of 32 and 54 is 2.
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Sia ? 6 years, 6 months ago
0.2x +0.3y =1.3 ............. (1)
0.4x +0.5y =2.3 ....... (2)
Using equation (1), we can say that
0.2x =1.3−0.3y ⇒ x = {tex}\frac{{1.3 - 0.3y}}{{0.2}}{/tex}
Putting this in equation (2), we get
0.4 {tex}\frac{{1.3 - 0.3y}}{{0.2}}{/tex}+0.5y =2.3 ⇒ 2.6−0.6y +0.5y =2.3
⇒ −0.1y =−0.3
⇒ y =3
Putting value of y in (1), we get
0.2x +0.3(3)=1.3 ⇒ 0.2x +0.9=1.3
⇒ 0.2x =0.4 ⇒ x =2
Therefore, x =2 and y =3
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Prashant Saini 7 years, 8 months ago
1Thank You