Question

A+B=32 A:B is equivalent to 5:11

Answer 1

A= 10, B= 22

Explanation:

A +B= 32 -----(1)

A: B= 5: 11

Rewriting the above ratio as a fraction:

`(A)/(B) = (5)/(11)`

Multiply both sides by B:

`A = (5)/(11)B` -----(2)

Substitute (2) into (1):

`(5)/(11)B + B = 32`

`(16)/(11) B = 32`

`B = 32 / (16)/(11)`

`B = 32 * (11)/(16)`

B= 22

Substitute B= 22 into (1):

A +22= 32

A= 32 -22

A= 10