Answered

IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mabilis na sagot. Hanapin ang mga solusyong kailangan mo nang mabilis at tiyak sa tulong ng aming mga bihasang miyembro.

in 2 years a boy will be three fourths as old as his sister. two years ago he was two thirds as old as she. how old are they?

Sagot :

x  = sister's age now
3/4(x+2) - 2 = boy's age now

x-2 = sister's age 2 years ago
x+2 = sister's age in 2 years

2/3(x-2) = boy's age 2 years ago
3/4(x+2) = boy's age in 2 years
Since 4 years will be elapsed between 2 years ago and 2 years from now,
(3x+6)/4 - (2x-4)/3 = 4
(3(3x+6) - 4(2x-4))/12 = 4
(9x+18-8x+16)/12 = 4
x+34 = 48
x=48-34
x=14

=(3/4(x+2)) - 2
=(3/4(14+2) -2
=(48/4) - 2
=12-2
=10

The boy is 10 years old and the girl is 14 years old