# Arithmetic Aptitude :: H.C.F and L.C.M

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## 8. Sum of squares of two numbers is 2754, their HCF is 9, LCM is 135, Find the numbers

**Answer:**

**Option B**

**Explanation :**

Product of two no. = H.C.F*L.C.M

So,x*y=135*9=1215 -----(1)

and x^2+y^2=2754

So,(x+y)^2=x^2+y^2+2*x*y = 2754+2*1215=5184

So,x+y=72 ----------- (2)

By solving eq. (1) & (2)

nos. are 45 and 27

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