Consider adjacent angles that measure (2x+45)∘ and (3x+55)∘. The sum of the measures of these two angles is 135∘.
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<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>
The age of Sita is five years more than Gautam's age. 5 years ago, the ratio of their ages was 3:2. Find their present ages.
<h2><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>The age of Sita = (x + 5) years.
And, the age of Gautam = x years.
Now,
5 years ago, the ratio of their ages was 3 : 2
Now by cross multiplying, we get,
3x = 2(x + 5)
3x = 2x + 10
3x - 2x = 10
<h3>x = 10 </h3>Hence, the age of Sita = (x + 5) = (10 + 5) = 15 years.
And, the age of Gautam = x = 10 years.
Now,
The present age of Sita = 15 + 5 = 20 years. (Answer)
And, the present age of Gautam = 10 + 5 = 15 years. (Answer)
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