Question

two numbers are in the ratio 19:15.one third of the smaller number is less than the one fifth of the bigger by 42.find the smaller num

Answer 1

Answer:

the smaller number is -21

Step-by-step explanation:

let two numbers are A and B

A:B= 19:15

A/B= 19/15

A= 19B/15

the smaller number is B

A/5-B/3=42

1/5*19B/15-B/3=42

19B/75-B/3=42

(19B-25B)/3=42

-6B/3=42

-2B=42

B=42/-2

B= -21