8. The ages of Ram and Shyam are in the ratio 7:6 and the sum of their ages is 78 years.
Find the age of Ram and Shyam respectively (in years).
1) 36, 43 2) 42, 36 3) 30, 48 4) 40, 38
9. If a:b = 2:5, then find the value of (3a+2b)/(4a+b).
1) 16/13 2) 13/16 3) 25/22 4) 20/21
10. Find the third proportional of 3 and 27.
1) 243 2) 256 3) 289 4) 225
11. If 25 14 8
,
5 7 3
p q
p q
then find p:q.
1) 3:5 2) 2:3 3) 2:5 4) 5:4
12. If a:b = 4:5 and b:c = 2: 3, then a:c = _______ .
1) 4:3 2) 8:15 3) 8:9 4) 5:3
13. If a=2b, then a:b = _____
1) 2:1 2) 1:2 3) 3:4 4) 4:3
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The ratio of ages of Ram and Shyam = 7:6.
Let the ages of Ram and Shyam be 7x years and 6x years, respectively.
Sum of their eges = 78
⇒7x+6x=78⇒13x=78
⇒x=6
∴ Age of Ram=7×6=42 years
Age of Shyam=6×6=36 years
Hence, the correct option is (b).
Step-by-step explanation:
The ratio of ages of Ram and Shyam = 7:6.
Let the ages of Ram and Shyam be 7x years and 6x years, respectively.
Sum of their eges = 78
⇒7x+6x=78⇒13x=78
⇒x=6
∴ Age of Ram=7×6=42 years
Age of Shyam=6×6=36 years
Hence, the correct option is (b).
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