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by four. How many balls does the bag contaln24. A number consists of three digits, the right-hand one beingzero. If the left hand and middle digits be interchanged the numberis diminished by 180; if the left-hand digit be halved and the middieand right-hand digits be interchanged the number is diminished by454. Find the number.umount to Rs 37; if 4 men |
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Answer» Let x be in hundred place y be in tens place third digit is 0 so dont mind it original number =100x+10y as per first condition new number 2nd digit becomes first digit so new number =100y + 10x + 0 EQUATION 1 100x + 10y-180=100y+10x simplifying we get 90x - 90y=180 90(x - y)=180 x-y=180/90=2 as per second condition new number fiest digit gets halfed 100x/2=50x next 2nd digit becomes 1st and viceversa so 0+1*y EQUATION 2 100x + 10y -454=50x + y simplifying we get 50x + 9y=454 third step = multiply 50 in equation 1 so50(x - y)=50*2 50x-50y=100 next subtract thirs step from equation 2 50x + 9y=454 -------- 50x-50y=100 ___________ 0+ 59y =354 we get 59y=354 so y = 6 putting this value to equation 1 we get x as 8 so original number 100x+10y = 800 + 60=860 Like my answer if you find it useful! |
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