101. 6
a + 4 b /6 a – 5 b = 6 ( a/ b) + 4 / 6 (
a / b – 5 = 6 x 4/3 + 4/ 6 x 4/3 – 5 = 8 + 4 8-5 = 12/3 = 4.
102. X/2y
= 6/7 X/y = (2 x 6/7 ) = 12/7.
X – y / X + y +X / y – 1 / X/y + 1 + 14 /19 = 12/7 -1 / 12 / 7 + 1 + 14 /
19 = (5/7) /
(19.7) + 14/19
= (5/7 x 7/19 ) + 14/19 = 5/19 + 14/19
= 19/19 = 1.
103. 1/b
= 4/5 and b/c = 15/16 = ( a/b x b/c ) = (4 / 5 x 15/16) a /c = 3/4
c² - a²/c² + a² = 1 – (a/c)²/ 1+ (a²/
c²) = 1 – (a/c)²/1 + (a/c)² = 1 – 9/16 / 1 + 9 /16 = (7
/16) / (25 /16) = 7 /
25
=
7/25.
104. (a – c ) –
(b + d ) = 6 and (c –d ) ( a + b ) =3
(
a – c) – (b + d) = 6 and (c –a) –( b + d) =3
(b
+ d) = (a –c) -6 and (b + d) = (c – a) -3
(
a –c ) = -6 = (c –a) -3
2
(a –c) =3
(
a-c) = 3/2 =1.5
