The ratio of three numbers is 3 : 5 : 7.
The ratio of three numbers is 3 : 5 : 7. If the sum of the largest and smallest numbers is 60, what is the sum of all the three numbers?
तीन संख्याओं का अनुपात 3 : 5 : 7 है। यदि सबसे बड़ी और सबसे छोटी संख्याओं का योग 60 है, तो तीनों संख्याओं का कुल योग ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
90
Let the three numbers be:
$3x,;5x,;7x$
Smallest number = $3x$
Largest number = $7x$
Given:
$3x+7x=60$
$10x=60$
$x=6$
Now the three numbers are:
$18,;30,;42$
Their sum:
18+30+42=90
or directly,
$(3+5+7)x=15\times6=90$
Final Answer: 90
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