The sum of two numbers one of which is 3/4 of the other is 84 . Find the number

Answer 1

the two numbers are in the ratio 4:3

divide 84 into 7 parts.

see where that gets you.

Answer 2

a / b = 3 / 4 Multiply both sides by b

a = ( 3 / 4 ) b

a + b = 84

( 3 / 4 ) b + b = 84

( 3 / 4 ) b + ( 4 / 4 ) b = 84

( 7 / 4 ) b = 84 Multiply both sides by 4

7 b = 84 * 4

7 b = 336 Divide both sides by 7

b = 336 / 7 = 48

b = 48

a = ( 3 / 4 ) b = 3 * 48 / 4 = 144 / 4 = 36

a = 36

a / b = 36 / 48 = 3 * 12 / ( 4 * 12 ) = 3 / 4