Question Number 161316 by otchereabdullai@gmail.com last updated on 16/Dec/21
$$\mathrm{Three}\:\mathrm{quarters}\:\mathrm{of}\:\mathrm{a}\:\mathrm{number}\:\mathrm{added}\:\mathrm{to} \\ $$$$\mathrm{two}\:\mathrm{and}\:\mathrm{a}\:\mathrm{half}\:\mathrm{of}\:\mathrm{that}\:\mathrm{number}\:\mathrm{gives}\: \\ $$$$\mathrm{13}.\:\mathrm{find}\:\mathrm{the}\:\mathrm{number} \\ $$$$ \\ $$
Answered by FelipeLz last updated on 16/Dec/21
$$\frac{\mathrm{3}}{\mathrm{4}}{x}+\frac{\mathrm{5}}{\mathrm{2}}{x}\:=\:\mathrm{13} \\ $$$${x}\:=\:\frac{\mathrm{13}}{\frac{\mathrm{3}}{\mathrm{4}}+\frac{\mathrm{5}}{\mathrm{2}}}\:=\:\frac{\mathrm{13}}{\frac{\mathrm{3}+\mathrm{10}}{\mathrm{4}}}\:=\:\frac{\mathrm{13}}{\frac{\mathrm{13}}{\mathrm{4}}}\:=\:\mathrm{4} \\ $$