Question
If a3 = 117 + b3 and a = 3 + b, then the value of a + b is?
Answer: Option A
$$\eqalign{
& {a^3} = 117 + {b^3}{\text{ , }}a = 3 + b \cr
& {a^3} - {b^3}{\text{ = 117}}\,......{\text{(i)}} \cr
& a - b = 3\,........(ii) \cr
& {\text{Put }}a = 5,{\text{ }}b = 2 \cr
& {\text{Both equation satisfy}} \cr
& {\text{Now, }}a + b = 5 + 2 = 7 \cr} $$
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$$\eqalign{
& {a^3} = 117 + {b^3}{\text{ , }}a = 3 + b \cr
& {a^3} - {b^3}{\text{ = 117}}\,......{\text{(i)}} \cr
& a - b = 3\,........(ii) \cr
& {\text{Put }}a = 5,{\text{ }}b = 2 \cr
& {\text{Both equation satisfy}} \cr
& {\text{Now, }}a + b = 5 + 2 = 7 \cr} $$
Was this answer helpful ?
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