Answer:
A= 10, B= 22
Step-by-step explanation:
A +B= 32 -----(1)
A: B= 5: 11
Rewriting the above ratio as a fraction:
[tex] \frac{A}{B} = \frac{5}{11} [/tex]
Multiply both sides by B:
[tex]A = \frac{5}{11}B[/tex] -----(2)
Substitute (2) into (1):
[tex] \frac{5}{11}B + B = 32[/tex]
[tex] \frac{16}{11} B = 32[/tex]
[tex]B = 32 \div \frac{16}{11} [/tex]
[tex]B = 32 \times \frac{11}{16} [/tex]
B= 22
Substitute B= 22 into (1):
A +22= 32
A= 32 -22
A= 10
