1.

1). 2 ∶ 72). 4 ∶ 53). 5 ∶ 24). 7 ∶ 2

Answer»

If TOGETHER the three had 30 grapes more, each of them would have had 120 grapes on an average.

$(\Rightarrow \frac{{60 + p + q + 30}}{3} = 120)$

⇒ p + q = 270------- (1)

If Shama gives her 15 grapes to Radha, she and Inaya have grapes in the ratio 7 ? 10.

$(\Rightarrow \frac{{p - 15}}{q} = \frac{7}{{10}})$

⇒ 10p - 150 = 7Q

∴ 10p - 7q = 150------- (2)

Multiplying the first EQUATION with 7 and adding it with equation second :

7P + 7q + 10p - 7q = 2040

⇒ 17p = 2040

∴ p = 120

Putting the value of p in equation (1):

⇒ q = 150

∴ p ? q = 4 ? 5



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