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Suppose the number is N then 4N = 3*abs(35-N) where abs(35-N) is the difference between 35 and N If N > 35 then 4*N = 3*(N-35) = 3*N - 105 So N = -105 If N < 35 then 4*N = 3*(35-N) = 105 - 3*N So 7*N = 105 ie N = 15 So N = -105 or 15
3, 5 and 7 are factors of 105 15, 21, 35 and 105 are also factors of 105
There are more numbers that can go into 105 than just 2 numbers. 1,3,5,7,15,21,35,105 1=105 3=35 5=21 7=15
32 + n = 105 n = 105 - 32 = 73
Call the number we are looking for n. Increased by 2/3 means 2/3n and we are told the 2/3n +n=35 So (5/3)n=35 or 5n=105 so n=21 so let's check 2/3 of 21 is 14 and 14 + 21 = 35.