What is the sum of two numbers whose differences is 45 and the quotient of the greater number by the...........

Quantitative Aptitude ( CCS) Algebra

What is the sum of two numbers whose differences is 45 and the quotient of the greater number by the lesser number is 4?

100

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Explanation:

Let the greater number be x and smaller number be y
∴ x – y = 45 ..... (i)
and x = 4y ..... (ii)
From eqs. (i) and (ii)
4y – y = 45
⇒ y = 45/3 = 15
On putting the value of y in Eq. (ii), we get
x = 4 × 15 = 60
Hence, required sum = x + y = 60 + 15 = 75.