The ratio between the ages of Kishore & Kabir is 5:3 after 5 years the sum of their ages will be 74 years. What is the present age of Kishore ?
50
45
40
60
Answers
Answer:
let the common ratio is x
so the present age of Kishore is 5x years
and the present age of Kabir is 3x years
after 5 years the age of Kishore is( 5x+5) years
after 5 years the age of Kabir is (3x+5)years
so,
(5x+5)+(3x+5)=74
=> 5x+5+3x+5=74
=> 8x=74-10=64
=> x=64/8=8
present age of Kishore is 5x years=5×8years=40years
ᎰᎨᏒᏕᎿ, ᏝᎬᎿ’Ꮥ ᏕᎬᎿ ᏬᏢ ᏕᎾᎷᎬ ᏉᎯᏒᎨᎯᏰᏝᎬᏕ.
ᏝᎬᎿ Ꮂ= ᏁᎯᏉᎨᏁ’Ꮥ ᎯᎶᎬ ᎯᏁᎠ Ꮍ= ᏕᎯᎷᎨᏒ’Ꮥ ᎯᎶᎬ.
ᏯᎬ ᏨᎯᏁ ᏨᏒᎬᎯᎿᎬ Ꭿ ᏕᎽᏕᎿᎬᎷ ᎾᎰ ᎬᏅᏬᎯᎿᎨᎾᏁᏕ ᎰᏒᎾᎷ ᎿᎻᎬ ᎨᏁᎰᎾᏒᎷᎯᎿᎨᎾᏁ ᏢᏒᎬᏕᎬᏁᎿᎬᎠ.
ᎿᎻᎬ ᏒᎯᎿᎨᎾ ᏰᎬᎿᏯᎬᎬᏁ ᎿᎻᎬ ᏢᏒᎬᏕᎬᏁᎿ ᎯᎶᎬᏕ ᎾᎰ ᏁᎯᏉᎨᏁ ᎯᏁᎠ ᏕᎯᎷᎨᏒ ᎨᏕ 5:3
ᎲᎽ=53
ᎨᎰ ᎿᎻᎬ ᎠᎨᎰᎰᎬᏒᎬᏁᏨᎬ ᏰᎬᎿᏯᎬᎬᏁ ᎿᎻᎬᎨᏒ ᎯᎶᎬᏕ ᎨᏕ 6 ᎽᎬᎯᏒᏕ…
Ꮂ−Ꮍ=6
ᏁᎾᎿᎬ ᎿᎻᎯᎿ ᎿᎻᎬ ᎯᏰᎾᏉᎬ ᎠᎨᎰᎰᎬᏒᎬᏁᏨᎬ ᏕᎻᎾᏬᏝᎠ ᏰᎬ ᎬᏁᏨᏝᎾᏕᎬᎠ ᎨᏁ ᏰᎯᏒᏕ ᎰᎾᏒ ᎯᏁ ᎯᏰᏕᎾᏝᏬᎿᎬ ᏉᎯᏝᏬᎬ ᏯᎻᎬᏁ ᏠᏬᏕᎿ ᏒᎬᎰᎬᏒᏒᎨᏁᎶ ᎿᎾ ᎿᎻᎬ ᎠᎨᎰᎰᎬᏒᎬᏁᏨᎬ. ᎿᎻᎬᏁ ᏯᎬ ᏨᎾᏬᏝᎠ ᏢᏒᎾᏨᎬᎬᎠ ᏯᎨᎿᎻ ᎿᏯᎾ ᏨᎯᏕᎬᏕ. ᎻᎾᏯᎬᏉᎬᏒ, ᎰᏒᎾᎷ ᎿᎻᎬ ᎶᎨᏉᎬᏁ ᎨᏁᎰᎾᏒᎷᎯᎿᎨᎾᏁ, ᏁᎯᏉᎨᏁ ᎨᏕ ᎾᏝᎠᎬᏒ ᎿᎻᎯᏁ ᏕᎯᎷᎨᏒ, ᏕᎾ ᎿᎻᎬ ᎯᏰᎾᏉᎬ ᏨᎯᏕᎬ ᎨᏕ ᏨᎾᏒᏒᎬᏨᎿ.
ᏕᎾᏝᏉᎬ ᎰᎾᏒ Ꮍ ᎨᏁ ᏰᎾᎿᎻ ᎬᏅᏬᎯᎿᎨᎾᏁᏕ.
Ꮍ=Ꮂ35 ᎯᏁᎠ Ꮍ=Ꮂ−6
ᏁᎾᏯ ᏯᎬ ᏕᏬᏰᏕᎿᎨᎿᏬᎿᎬ ᎰᎾᏒ Ꮍ ᎨᏁ ᎬᎨᎿᎻᎬᏒ ᎬᏅᏬᎯᎿᎨᎾᏁ. Ꭸ’ᏝᏝ ᏢᎨᏨᏦ ᏕᏬᏰᏕᎿᎨᎿᏬᎿᎨᏁᎶ ᎿᎻᎬ ᎰᎨᏒᏕᎿ ᎬᏅᏬᎯᎿᎨᎾᏁ’Ꮥ Ꮍ ᎰᎾᏒ ᎿᎻᎬ ᏕᎬᏨᎾᏁᎠ’Ꮥ.
Ꮂ35=Ꮂ−6
Ꮂ35+6=Ꮂ
6=Ꮂ25
15=Ꮂ
ᏯᎬ ᎰᎨᎶᏬᏒᎬᎠ ᎾᏬᎿ ᏁᎯᏉᎨᏁ’Ꮥ ᏢᏒᎬᏕᎬᏁᎿ ᎯᎶᎬ. ᏢᏝᏬᎶ ᎿᎻᎨᏕ ᎨᏁᎿᎾ ᎬᎨᎿᎻᎬᏒ ᎬᏅᏬᎯᎿᎨᎾᏁ ᎿᎾ ᎰᎨᎶᏬᏒᎬ ᎾᏬᎿ ᏕᎯᎷᎨᏒ’Ꮥ ᎯᏕ ᏯᎬᏝᏝ.
Ꮂ−Ꮍ=6
15−Ꮍ=6
Ꮍ=9
ᏕᎯᎷᎨᏒ ᎨᏕ 9 ᎯᎿ ᏢᏒᎬᏕᎬᏁᎿ ᎿᎨᎷᎬ. ᎨᏁ ᎰᎨᏉᎬ ᎽᎬᎯᏒᏕ, ᏕᎯᎷᎨᏒ ᏯᎨᏝᏝ ᏰᎬ 14.