Grandfather's age.

Algebra Level 1

In three more years, Manish's grandfather will be six times as old as Manish was last year. When Manish's present age is added to his grandfather's present age, the total is 68. How old is Manish's grandfather now?

52 45 57 41

Saurav Sah by Saurav Sah , 20, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Yomna Kilany
Apr 17, 2014

*let the grandfater s age X and manish s Y:

*X+3=6(Y-1)(1)

*X+Y=68(1~)

*X=68-Y(2)

*Subistitution from (2) in (1) :

*(68-Y)+3=6(Y-1)

*68-Y+3=6Y-6

*-7Y=-77

*Y=11(3)

*subistitution (3) in (1~):

*X+Y=68

*X+11=68

*X=57(Req.)

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Krishna Garg
Apr 23, 2014

suppose Manish age is Y and his Grand father's age is X ,So X+Y =68 and X +3 =6(y-1) solving these two equations we get X=57 Ans

K.K.GARG,India

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Sunil Pradhan
Apr 16, 2014

GF age = x and manish age = y

x + 3 = 6(y – 1) ----- eq. 1 and x + y = 68 ----- eq. 2 solve

x = 57 and y = 7

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Let, GF age = x & Manish age = 68 - x.

x + 3 = (68 - x - 1) * 6

x + 3 = 402 - 6x

7x = 399

x = 57

Shamima Shimu - 7 years, 1 month ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...