Question

11 24 30 : 35 Ans.) EXERCISE 6(B) Check whether the following quantities form a proportion or not: (1) 3x, 7x, 24 and 56 (ii) 0-8, 3, 2.4 and 9 1. (ii) 2.3.4 3 and 9 4 (iv) 0-4, 0-5, 2-9 and 3.5 (V) 2 3-0 and 6.0 2 2​

Answer 1

Answer:

3x*56 = 7x*24

= 168x = 168x

Hence, it is true and in proportion

Answer 2

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(i) if 3x, 7x, 24 and 56 are in proportion

Then

3x56=7x24

168x = 168 x

LHS=RHS

(ii) if 0.8,3,2.4and 9 are in proportion

Then

0.8×9=2.4×3

7.2=7.2

LHS = RHS

(iii)

$if 1\frac{1}{2},3\frac{1}{4},4\frac{1}{2}\ and\ 9\frac{3}{4} are \: in \: proportion$

Then

$1\ \frac{1}{2}\times9\ \frac{3}{4}=3\ \frac{1}{4}\times4\ \frac{1}{2}$

$=\frac{3}{2}\times\frac{39}{4}=\frac{15}{4}\times\frac{9}{2}</p><p>\frac{117}{8}=\frac{117}{8}$

LHS=RHS

(iv)If 0.4, 0.5, 2.9 and 3.5 are in proportion

Then

0.4×3.5=0.5×2.9

1.40 = 1.40

LHS=RHS

$(v) if 2\frac{1}{2},5\frac{1}{2},3.0\ and\ 6.0 are \: in \: proportion \:$

Then,

$\frac{5}{2}\times6.0=\frac{11}{2}\times3.0</p><p>\frac{30}{2}=\frac{30}{2}$

LHS=RHS