Lisa's brother Tom was 5/9 inch shorter than her last year. This year Tom is only 1/4 inch shorter than lisa. Lisa grew 4/5 inch since last year. How much did Tom grow?

Question

Lisa's brother Tom was 5/9 inch shorter than her last year. This year Tom is only 1/4 inch shorter than lisa. Lisa grew 4/5 inch since last year. How much did Tom grow?

Answer 1

Last year:

Lisa = x

Tom = x - 5/9

This year:

LIsa = x+ 4/5

Tom = x+4/5 - 1/4 = x + 16/20 - 5/20

= x + 11/20

x + 11/20 - (x - 5/9) =

x + 11/20 - x + 5/9 =

11/20 + 5/9 =

99/180 + 100/180 =

199/180 =

1 + 19/180

========================================

L = T + 5/9

L + 4/5 = T + x + 1/4

Substitutes

T + 5/9 + 4/5 = T + X + 1/4

5/9 + 4/5 = x + 1/4

5/9 + 4/5 - 1/4 = x

100/180 + 144/180 - 45/180 = x

199/180 = x

Tom grew 199/180