The sum of two numbers is 25. their product is 154
2 answers:
The two numbers are 14 and 11
Let those numbers be a and b a+b = 25 -----(i) ab = 154 -----(ii) from (ii) a = 154/b by substituting for "a" in (i) a + b = 25 (154/b) + b = 25 ( 154 + b^2)/b = 25 154 + b^2 = 25b 154 + b^2 -25b =0 now, arrange the terms b^2 - 25b + 154 = 0 b^2 - 14b - 11b + 154 =0 b (b-14) -11 (b-14) =0 (b-11)(b-14)= 0 now find the value for b b -11 =0 b = 11 and b-14=0 b = 14 b equals either 14 or 11 and a = 154/b if b = 11 then, a = 154/11 = 14 if b = 14 then, a = 154/14 = 11 so, the value of a and b are 11 and 14. so, those numbers are 11 and 14.
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