Question

20. (3) According to the question, Ist number ( times ) lind number ( =mathrm{HCF} times mathrm{LCM} ) ( Rightarrow 2 times 45 x times 3 times 45 y=45 times 270 )
( therefore quad x times y=frac{6}{6}=1 )
Hence, smaller number ( =2 times 1 times 45=90 )
( x=90 )
( therefore )
( (x)^{2}=(90)^{2}=8100 )

# 20. The HCF and LCM of two numbers are 45 and 270 respectively. If the ratio of the two numbers is 2:3 and smaller of the two numbers is X, then find x2. RRB NTPC (Phase I) 2016 (1) 2025 (2) 4225 (3) 8100 (4) 18225

Solution