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Question
Two numbers are in the ratio 5 : 7 and the sum of these numbers is 252. The larger of these numbers is
Options
85
119
105
147
Solution
147
Ratio = 5 : 7
Let x be any number such that we have:
5x + 7x = 252
⇒ 12x = 252
⇒ x = `252/12` = 21
Now, 5x = 5 × 21= 105
7x = 7 × 21 = 147
The largest number is 147.
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