6 The HCF of two number is 4 and th...
Question

# 6 The HCF of two number is 4 and the two other factors of LCM are 5 and 7. Find the smaller of the two numbers. RRB NTPC (Phase I) 2016 (1) 10 (2) 14 (3) 20 (4) 28

11th - 12th Class
Maths
Solution
147
4.0 (1 ratings)
6. (3) Let the numbers be ( 4 x ) and ( 4 y . ) Then Ist number ( times ) IInd number ( =mathrm{HCF} times mathrm{LCM} ) [ begin{array}{c} 4 x times 4 y=4 times 4 times 5 times 7 x times y=5 times 7 end{array} ] Hence, Ist number ( =4 times 5=20 ) and IInd number ( =4 times 7=28 ) ( therefore quad ) Smaller number ( =20 )