Question

Two numbers are in the ratio $4:7$. If thrice the larger be added to twice the smaller, the sum becomes $59$. Find the numbers.

• A. $2\frac{7}{19}$ and $4\frac{3}{19}$
• B. $8\frac{4}{29}$ and $14\frac{7}{29}$
• C. $9\frac{3}{13}$ and $16\frac{2}{11}$
• D. $6\frac{2}{37}$ and $24\frac{2}{7}$

Answer 1

The correct option is B $8\frac{4}{29}$ and $14\frac{7}{29}$

$Letthenumbersbexandy:3y+2x=59;x=4y/7;Substituting:3y+2\ast 4y/7=59;y=413/29x=236/29$