Book Maths Puzzle

Find two numbers which are such that one-fifth of the greater exceeds one-sixth of the smaller by ‘4’; and such that one-half of the greater plus one-quarter of the smaller equals ‘38’.

Read Solution (Total 1)

55 and 42

If x>y, then
x/5 = y/6 +4
and
x/2 +y/4 = 38

solving these eqns, we get
x=55, y=42
12 years agoHelpfull: Yes(1) No(1)

Book Other Question

In a symposium of 400 people, it was observed that 200 write with Reynolds, 70 with Parker and 50 with Paper mate pens. 30 people had both Reynolds and Parker. 20 had Reynolds and Paper mate and 8 had Parker and Paper mate. How many had Reynolds alone? Find three consecutive positive integers such that the square of their sum exceeds the sum of their squares by 214.