Page 142 - Grade 10 C.Math
P. 142

oxfF, 10x + y = 5(x + y)

                        cyjf, 10x + y = 5x + 5y

                        cyjf, 10x - 5x = 5y - y

                        cyjf, 5x = 4y
                       Curriculum Development Centre
                        cyjf x =  y ....... (i)

                        k]ml/ xy = 20 ........ (ii)

                        cyjf,   y x y = 20    [;dLs/0f (i) af6)

                        cyjf, 4y  = 100
                                2
                        cyjf, y  = 25
                               2
                        cyjf, y  - 25 = 0
                               2
                        cyjf, (y - 5) (y + 5) = 0

                        cyjf, y = 5 jf y = -5

                        oxfF wgfTds dfg dfq lng ;lsG5 . To;}n], y = 5

                        k]ml/, ;dLs/0f (i) af6, x =   x 5 = 4

                        ctM rflxPsf] ;ª\Vof   = 10x + y
                                             = 10 x 4 + 5

                                             = 40 + 5 = 45

                        pbfx/0f 4

                        olb xfn b'O{ hgf bfh'efOsf] pd]/ j|mdzM 10 jif{ / 12 jif{ 5 . slt jif{kl5 ltgLx¿sf]
                        pd]/sf] u'0fg kmn 360 x'G5 < kTtf nufpg'xf];\ .

                        ;dfwfg
                        dfgf}F, x jif{kl5 ltgLx¿sf] pd]/sf] u'0fg kmn 360 x'G5 .

                        To;}n] (10 + x) (12 + x) = 360

                        cyjf, 120 + 12x + 10x + x  = 360
                                               2
                        cyjf, x  + 22x + 120 - 360 = 0
                               2
                        cyjf, x  + 22x - 240 = 0
                               2

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