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rom a basketcounted intuos there was oneestra coumted in thvees thereweye tuwo extra coumted inof man goes wheneyetheye weye thyce extyacoun fed in lives there we yefour extya ounte in sixesthec were five extra. Butcounte in sevens there wereno extra At least how manymavgoes were theve l?mangoes weYein the bask |
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Answer» Let the number of mangoes be x. when x ÷ 2 leaves remainder as 1.when x ÷ 3 leaves remainder as 2.when x ÷ 4 leaves remainder as 3.when x ÷ 5 leaves remainder as 4.when x ÷ 6 leaves remainder as 5.when x ÷ 7 leaves remainder as 0.⇒ x is divisible by 7. The remainder in each case is 1 less than the divisor.⇒ (x + 1) is the LCM of 2, 3, 4, 5 and 6. LCM of 2, 3, 4, 5 and 6 = 60. If x + 1 = 60, then x = 59.But 59 is not divisible by 7. If x + 1 = 120, then x = 119. 119 is divisible by 7 also it satisfies all the conditions. Hence the number of mangoes = 119. excellent thanks |
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